106376200 has 48 divisors (see below), whose sum is σ = 282660480. Its totient is φ = 36471360.

The previous prime is 106376177. The next prime is 106376201. The reversal of 106376200 is 2673601.

It is a super-2 number, since 2×106376200² = 22631791852880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (106376201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36592 + ... + 39391.

It is an arithmetic number, because the mean of its divisors is an integer number (5888760).

Almost surely, 2^106376200 is an apocalyptic number.

106376200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106376200 is an abundant number, since it is smaller than the sum of its proper divisors (176284280).

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

106376200 is a wasteful number, since it uses less digits than its factorization.

106376200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76006 (or 75997 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 106376200 is about 10313.8838465439. The cubic root of 106376200 is about 473.8215663611.

The spelling of 106376200 in words is "one hundred six million, three hundred seventy-six thousand, two hundred".