106072600 has 48 divisors (see below), whose sum is σ = 247718520. Its totient is φ = 42240000.

The previous prime is 106072597. The next prime is 106072601. The reversal of 106072600 is 6270601.

It is a super-2 number, since 2×106072600² = 22502792941520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106072601) 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, 49144 + ... + 51256.

Almost surely, 2^106072600 is an apocalyptic number.

106072600 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 106072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123859260).

106072600 is an abundant number, since it is smaller than the sum of its proper divisors (141645920).

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

106072600 is a wasteful number, since it uses less digits than its factorization.

106072600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 106072600 is about 10299.1553051694. The cubic root of 106072600 is about 473.3703711457.

The spelling of 106072600 in words is "one hundred six million, seventy-two thousand, six hundred".