106207718400 has 1056 divisors, whose sum is σ = 452910376960. Its totient is φ = 24186470400.

The previous prime is 106207718389. The next prime is 106207718417. The reversal of 106207718400 is 4817702601.

106207718400 is a `hidden beast` number, since 10 + 620 + 7 + 7 + 18 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×106207718400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391910265 + ... + 391910535.

Almost surely, 2^106207718400 is an apocalyptic number.

106207718400 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 106207718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226455188480).

106207718400 is an abundant number, since it is smaller than the sum of its proper divisors (346702658560).

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

106207718400 is an frugal number, since it uses more digits than its factorization.

106207718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 106207718400 in words is "one hundred six billion, two hundred seven million, seven hundred eighteen thousand, four hundred".