106310400 has 324 divisors, whose sum is σ = 411739272. Its totient is φ = 24084480.

The previous prime is 106310387. The next prime is 106310419. The reversal of 106310400 is 4013601.

It is a super-2 number, since 2×106310400² = 22603802296320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106310400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940744 + ... + 940856.

Almost surely, 2^106310400 is an apocalyptic number.

106310400 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 106310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205869636).

106310400 is an abundant number, since it is smaller than the sum of its proper divisors (305428872).

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

106310400 is a wasteful number, since it uses less digits than its factorization.

106310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106310400 is about 10310.6934781323. The cubic root of 106310400 is about 473.7238506138.

The spelling of 106310400 in words is "one hundred six million, three hundred ten thousand, four hundred".