106577700 has 72 divisors (see below), whose sum is σ = 314229888. Its totient is φ = 27880320.

The previous prime is 106577621. The next prime is 106577719. The reversal of 106577700 is 7775601.

It is a super-2 number, since 2×106577700² = 22717612274580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12549 + ... + 19251.

It is an arithmetic number, because the mean of its divisors is an integer number (4364304).

Almost surely, 2^106577700 is an apocalyptic number.

106577700 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 106577700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157114944).

106577700 is an abundant number, since it is smaller than the sum of its proper divisors (207652188).

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

106577700 is a wasteful number, since it uses less digits than its factorization.

106577700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 106577700 is about 10323.6476111886. The cubic root of 106577700 is about 474.1205518653.

The spelling of 106577700 in words is "one hundred six million, five hundred seventy-seven thousand, seven hundred".