106785504000 has 1728 divisors, whose sum is σ = 477530726400. Its totient is φ = 22850150400.

The previous prime is 106785503899. The next prime is 106785504017. The reversal of 106785504000 is 405587601.

106785504000 is a `hidden beast` number, since 1 + 0 + 67 + 8 + 550 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×106785504000² (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 191 ways as a sum of consecutive naturals, for example, 2272031977 + ... + 2272032023.

It is an arithmetic number, because the mean of its divisors is an integer number (276348800).

Almost surely, 2^106785504000 is an apocalyptic number.

106785504000 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 106785504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238765363200).

106785504000 is an abundant number, since it is smaller than the sum of its proper divisors (370745222400).

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

106785504000 is an equidigital number, since it uses as much as digits as its factorization.

106785504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 106785504000 in words is "one hundred six billion, seven hundred eighty-five million, five hundred four thousand".