107029872 has 30 divisors (see below), whose sum is σ = 299535392. Its totient is φ = 35676576.

The previous prime is 107029859. The next prime is 107029877. The reversal of 107029872 is 278920701.

It is a super-2 number, since 2×107029872² = 22910787000672768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107029877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371488 + ... + 371775.

Almost surely, 2^107029872 is an apocalyptic number.

107029872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107029872 is an abundant number, since it is smaller than the sum of its proper divisors (192505520).

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

107029872 is a wasteful number, since it uses less digits than its factorization.

107029872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743277 (or 743268 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107029872 is about 10345.5242496454. The cubic root of 107029872 is about 474.7901152143.

The spelling of 107029872 in words is "one hundred seven million, twenty-nine thousand, eight hundred seventy-two".