106137600 has 144 divisors (see below), whose sum is σ = 351383760. Its totient is φ = 28262400.

The previous prime is 106137589. The next prime is 106137601. The reversal of 106137600 is 6731601.

It is a super-2 number, since 2×106137600² = 22530380267520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106137601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153255 + ... + 153945.

It is an arithmetic number, because the mean of its divisors is an integer number (2440165).

Almost surely, 2^106137600 is an apocalyptic number.

106137600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175691880).

106137600 is an abundant number, since it is smaller than the sum of its proper divisors (245246160).

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

106137600 is an equidigital number, since it uses as much as digits as its factorization.

106137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 106137600 is about 10302.3104204834. The cubic root of 106137600 is about 473.4670432718.

The spelling of 106137600 in words is "one hundred six million, one hundred thirty-seven thousand, six hundred".