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106151424 = 29369109
BaseRepresentation
bin1100101001110…
…11111000000000
321101202001101020
412110323320000
5204133321144
614311105440
72426162241
oct624737000
9241661336
10106151424
1154a13155
122b672280
1318cb86c2
1410152cc8
1594bc419
hex653be00

106151424 has 40 divisors (see below), whose sum is σ = 282798120. Its totient is φ = 35383296.

The previous prime is 106151411. The next prime is 106151429. The reversal of 106151424 is 424151601.

It is a happy number.

It is a super-2 number, since 2×1061514242 = 22536249634455552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106151394 and 106151403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33019 + ... + 36090.

It is an arithmetic number, because the mean of its divisors is an integer number (7069953).

Almost surely, 2106151424 is an apocalyptic number.

It is an amenable number.

106151424 is an abundant number, since it is smaller than the sum of its proper divisors (176646696).

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

106151424 is an frugal number, since it uses more digits than its factorization.

106151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69130 (or 69114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106151424 is about 10302.9813161046. The cubic root of 106151424 is about 473.4875981121.

The spelling of 106151424 in words is "one hundred six million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 69109 138218 207327 276436 414654 552872 829308 1105744 1658616 2211488 3317232 4422976 6634464 8845952 13268928 17691904 26537856 35383808 53075712 106151424