106682572800 has 840 divisors, whose sum is σ = 405587377800. Its totient is φ = 27709931520.

The previous prime is 106682572793. The next prime is 106682572847. The reversal of 106682572800 is 8275286601.

106682572800 is a `hidden beast` number, since 10 + 6 + 68 + 2 + 572 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×106682572800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 978739146 + ... + 978739254.

Almost surely, 2^106682572800 is an apocalyptic number.

106682572800 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 106682572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202793688900).

106682572800 is an abundant number, since it is smaller than the sum of its proper divisors (298904805000).

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

106682572800 is an equidigital number, since it uses as much as digits as its factorization.

106682572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 106682572800 in words is "one hundred six billion, six hundred eighty-two million, five hundred seventy-two thousand, eight hundred".