106382120760 has 48 divisors (see below), whose sum is σ = 345741893640. Its totient is φ = 28368565440.

The previous prime is 106382120723. The next prime is 106382120771. The reversal of 106382120760 is 67021283601.

106382120760 is a `hidden beast` number, since 1 + 0 + 638 + 2 + 12 + 0 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×106382120760² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147752586 + ... + 147753305.

Almost surely, 2^106382120760 is an apocalyptic number.

106382120760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106382120760 is an abundant number, since it is smaller than the sum of its proper divisors (239359772880).

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

106382120760 is a wasteful number, since it uses less digits than its factorization.

106382120760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295505908 (or 295505901 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106382120760 in words is "one hundred six billion, three hundred eighty-two million, one hundred twenty thousand, seven hundred sixty".