106976315520 has 256 divisors, whose sum is σ = 379336204800. Its totient is φ = 28492259328.

The previous prime is 106976315503. The next prime is 106976315521. The reversal of 106976315520 is 25513679601.

106976315520 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 631 + 5 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×106976315520² (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 not an unprimeable number, because it can be changed into a prime (106976315521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16188057 + ... + 16194663.

It is an arithmetic number, because the mean of its divisors is an integer number (1481782050).

Almost surely, 2^106976315520 is an apocalyptic number.

106976315520 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 106976315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189668102400).

106976315520 is an abundant number, since it is smaller than the sum of its proper divisors (272359889280).

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

106976315520 is an equidigital number, since it uses as much as digits as its factorization.

106976315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 106976315520 in words is "one hundred six billion, nine hundred seventy-six million, three hundred fifteen thousand, five hundred twenty".