106370700 has 72 divisors (see below), whose sum is σ = 325885392. Its totient is φ = 26695680.

The previous prime is 106370689. The next prime is 106370701. The reversal of 106370700 is 7073601.

It is a super-2 number, since 2×106370700² = 22629451636980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106370701) by changing a digit.

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, 5329 + ... + 15528.

It is an arithmetic number, because the mean of its divisors is an integer number (4526186).

Almost surely, 2^106370700 is an apocalyptic number.

106370700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106370700 is an abundant number, since it is smaller than the sum of its proper divisors (219514692).

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

106370700 is a wasteful number, since it uses less digits than its factorization.

106370700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20891 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 106370700 is about 10313.6172122103. The cubic root of 106370700 is about 473.8134001750.

The spelling of 106370700 in words is "one hundred six million, three hundred seventy thousand, seven hundred".