106764048000 has 512 divisors, whose sum is σ = 400753267200. Its totient is φ = 27927244800.

The previous prime is 106764047959. The next prime is 106764048031. The reversal of 106764048000 is 840467601.

106764048000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 640 + 4 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106764048000² (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 63 ways as a sum of consecutive naturals, for example, 22893669 + ... + 22898331.

It is an arithmetic number, because the mean of its divisors is an integer number (782721225).

Almost surely, 2^106764048000 is an apocalyptic number.

106764048000 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 106764048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200376633600).

106764048000 is an abundant number, since it is smaller than the sum of its proper divisors (293989219200).

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

106764048000 is an equidigital number, since it uses as much as digits as its factorization.

106764048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106764048000 in words is "one hundred six billion, seven hundred sixty-four million, forty-eight thousand".