106537872 has 40 divisors (see below), whose sum is σ = 314541376. Its totient is φ = 30439296.

The previous prime is 106537859. The next prime is 106537877. The reversal of 106537872 is 278735601.

It is a super-2 number, since 2×106537872² = 22700636340576768, 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 106537872.

It is not an unprimeable number, because it can be changed into a prime (106537877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158203 + ... + 158874.

Almost surely, 2^106537872 is an apocalyptic number.

106537872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106537872 is an abundant number, since it is smaller than the sum of its proper divisors (208003504).

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

106537872 is a wasteful number, since it uses less digits than its factorization.

106537872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317095 (or 317089 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 106537872 is about 10321.7184615741. The cubic root of 106537872 is about 474.0614850185.

The spelling of 106537872 in words is "one hundred six million, five hundred thirty-seven thousand, eight hundred seventy-two".