105137652 has 24 divisors (see below), whose sum is σ = 248778432. Its totient is φ = 34552000.

The previous prime is 105137603. The next prime is 105137663. The reversal of 105137652 is 256731501.

It is a super-2 number, since 2×105137652² = 22107851736146208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60849 + ... + 62552.

It is an arithmetic number, because the mean of its divisors is an integer number (10365768).

Almost surely, 2^105137652 is an apocalyptic number.

105137652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105137652 is an abundant number, since it is smaller than the sum of its proper divisors (143640780).

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

105137652 is a wasteful number, since it uses less digits than its factorization.

105137652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123479 (or 123477 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105137652 is about 10253.6652958832. The cubic root of 105137652 is about 471.9754667417.

The spelling of 105137652 in words is "one hundred five million, one hundred thirty-seven thousand, six hundred fifty-two".