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106042020 = 22357252481
BaseRepresentation
bin1100101001000…
…01001010100100
321101112111022020
412110201022210
5204121321040
614304503140
72425225260
oct624411244
9241474266
10106042020
1154948a37
122b61aab0
1318c7a976
14101250a0
159499cd0
hex65212a4

106042020 has 48 divisors (see below), whose sum is σ = 339335808. Its totient is φ = 24238080.

The previous prime is 106042019. The next prime is 106042043. The reversal of 106042020 is 20240601.

It is a super-2 number, since 2×1060420202 = 22489820011360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125821 + ... + 126660.

It is an arithmetic number, because the mean of its divisors is an integer number (7069496).

Almost surely, 2106042020 is an apocalyptic number.

106042020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106042020 is an abundant number, since it is smaller than the sum of its proper divisors (233293788).

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

106042020 is a wasteful number, since it uses less digits than its factorization.

106042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252500 (or 252498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106042020 is about 10297.6706103856. The cubic root of 106042020 is about 473.3248769677.

Adding to 106042020 its reverse (20240601), we get a palindrome (126282621).

The spelling of 106042020 in words is "one hundred six million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 252481 504962 757443 1009924 1262405 1514886 1767367 2524810 3029772 3534734 3787215 5049620 5302101 7069468 7574430 8836835 10604202 15148860 17673670 21208404 26510505 35347340 53021010 106042020