106370400 has 288 divisors, whose sum is σ = 377975808. Its totient is φ = 25907200.

The previous prime is 106370399. The next prime is 106370431. The reversal of 106370400 is 4073601.

It is a super-2 number, since 2×106370400² = 22629323992320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2263177 + ... + 2263223.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^106370400 is an apocalyptic number.

106370400 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 106370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

106370400 is an abundant number, since it is smaller than the sum of its proper divisors (271605408).

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

106370400 is a wasteful number, since it uses less digits than its factorization.

106370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106370400 is about 10313.6026683211. The cubic root of 106370400 is about 473.8129547386.

The spelling of 106370400 in words is "one hundred six million, three hundred seventy thousand, four hundred".