106977970440 has 192 divisors, whose sum is σ = 379671364800. Its totient is φ = 25907673600.

The previous prime is 106977970433. The next prime is 106977970453. The reversal of 106977970440 is 44079779601.

106977970440 is a `hidden beast` number, since 1 + 0 + 69 + 7 + 79 + 70 + 440 = 666.

It is a super-2 number, since 2×106977970440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4029931 + ... + 4056389.

It is an arithmetic number, because the mean of its divisors is an integer number (1977455025).

Almost surely, 2^106977970440 is an apocalyptic number.

106977970440 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 106977970440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189835682400).

106977970440 is an abundant number, since it is smaller than the sum of its proper divisors (272693394360).

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

106977970440 is a wasteful number, since it uses less digits than its factorization.

106977970440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27508 (or 27501 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 106977970440 in words is "one hundred six billion, nine hundred seventy-seven million, nine hundred seventy thousand, four hundred forty".