105137672 has 16 divisors (see below), whose sum is σ = 197904060. Its totient is φ = 52363264.

The previous prime is 105137663. The next prime is 105137687. The reversal of 105137672 is 276731501.

It can be written as a sum of positive squares in 2 ways, for example, as 73034116 + 32103556 = 8546^2 + 5666^2 .

It is a super-2 number, since 2×105137672² = 22107860147159168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23513 + ... + 27624.

Almost surely, 2^105137672 is an apocalyptic number.

It is an amenable number.

105137672 is a deficient number, since it is larger than the sum of its proper divisors (92766388).

105137672 is a wasteful number, since it uses less digits than its factorization.

105137672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51400 (or 51396 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 105137672 is about 10253.6662711442. Note that the first 3 decimals coincide. The cubic root of 105137672 is about 471.9754966692.

The spelling of 105137672 in words is "one hundred five million, one hundred thirty-seven thousand, six hundred seventy-two".