106157100 has 72 divisors (see below), whose sum is σ = 351033088. Its totient is φ = 24264000.

The previous prime is 106157099. The next prime is 106157179. The reversal of 106157100 is 1751601.

It is a super-2 number, since 2×106157100² = 22538659760820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23176 + ... + 27375.

Almost surely, 2^106157100 is an apocalyptic number.

106157100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106157100 is an abundant number, since it is smaller than the sum of its proper divisors (244875988).

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

106157100 is a wasteful number, since it uses less digits than its factorization.

106157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50575 (or 50568 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 106157100 is about 10303.2567666733. The cubic root of 106157100 is about 473.4960372130.

The spelling of 106157100 in words is "one hundred six million, one hundred fifty-seven thousand, one hundred".