106316031600 has 150 divisors (see below), whose sum is σ = 381559822160. Its totient is φ = 28350933120.

The previous prime is 106316031557. The next prime is 106316031607. The reversal of 106316031600 is 6130613601.

It is a happy number.

106316031600 is a `hidden beast` number, since 10 + 6 + 3 + 16 + 0 + 31 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×106316031600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106316031607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1608280 + ... + 1673079.

Almost surely, 2^106316031600 is an apocalyptic number.

106316031600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106316031600 is an abundant number, since it is smaller than the sum of its proper divisors (275243790560).

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

106316031600 is a wasteful number, since it uses less digits than its factorization.

106316031600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281389 (or 3281369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 106316031600 in words is "one hundred six billion, three hundred sixteen million, thirty-one thousand, six hundred".