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105445400 = 23521393793
BaseRepresentation
bin1100100100011…
…11100000011000
321100102011220012
412102033200120
5203443223100
614244021052
72420161664
oct622174030
9240364805
10105445400
1154580765
122b391788
1318acc238
141000b8a4
1593cd135
hex648f818

105445400 has 48 divisors (see below), whose sum is σ = 246989400. Its totient is φ = 41863680.

The previous prime is 105445391. The next prime is 105445411. The reversal of 105445400 is 4544501.

It is a super-2 number, since 2×1054454002 = 22237464762320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25904 + ... + 29696.

Almost surely, 2105445400 is an apocalyptic number.

105445400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123494700).

105445400 is an abundant number, since it is smaller than the sum of its proper divisors (141544000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105445400 is a wasteful number, since it uses less digits than its factorization.

105445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105445400 is about 10268.6610616964. The cubic root of 105445400 is about 472.4355239887.

Adding to 105445400 its reverse (4544501), we get a palindrome (109989901).

The spelling of 105445400 in words is "one hundred five million, four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 3793 5560 6950 7586 13900 15172 18965 27800 30344 37930 75860 94825 151720 189650 379300 527227 758600 1054454 2108908 2636135 4217816 5272270 10544540 13180675 21089080 26361350 52722700 105445400