106375136 has 48 divisors (see below), whose sum is σ = 247080960. Its totient is φ = 44115840.

The previous prime is 106375133. The next prime is 106375153. The reversal of 106375136 is 631573601.

It is a super-2 number, since 2×106375136² = 22631339118036992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106375133) 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, 716 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (5147520).

Almost surely, 2^106375136 is an apocalyptic number.

106375136 is a gapful number since it is divisible by the number (16) 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 106375136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123540480).

106375136 is an abundant number, since it is smaller than the sum of its proper divisors (140705824).

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

106375136 is a wasteful number, since it uses less digits than its factorization.

106375136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15367 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 106375136 is about 10313.8322654579. The cubic root of 106375136 is about 473.8199865973.

The spelling of 106375136 in words is "one hundred six million, three hundred seventy-five thousand, one hundred thirty-six".