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106102524 = 223112273541
BaseRepresentation
bin1100101001011…
…11111011111100
321101122120022010
412110233323330
5204130240044
614310051220
72425566543
oct624577374
9241576263
10106102524
115498a440
122b649b10
1318c9c378
141013d15a
1594acbb9
hex652fefc

106102524 has 48 divisors (see below), whose sum is σ = 271345536. Its totient is φ = 32001600.

The previous prime is 106102523. The next prime is 106102541. The reversal of 106102524 is 425201601.

It is a super-2 number, since 2×1061025242 = 22515491198341152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106102524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28194 + ... + 31734.

It is an arithmetic number, because the mean of its divisors is an integer number (5653032).

Almost surely, 2106102524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106102524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135672768).

106102524 is an abundant number, since it is smaller than the sum of its proper divisors (165243012).

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

106102524 is a wasteful number, since it uses less digits than its factorization.

106102524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106102524 is about 10300.6079432235. The cubic root of 106102524 is about 473.4148809222.

The spelling of 106102524 in words is "one hundred six million, one hundred two thousand, five hundred twenty-four".