107790633090 has 128 divisors (see below), whose sum is σ = 334703301120. Its totient is φ = 24172971264.

The previous prime is 107790633089. The next prime is 107790633113. The reversal of 107790633090 is 90336097701.

107790633090 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 9 + 0 + 633 + 0 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 437869 + ... + 638208.

It is an arithmetic number, because the mean of its divisors is an integer number (2614869540).

Almost surely, 2^107790633090 is an apocalyptic number.

107790633090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107790633090 is an abundant number, since it is smaller than the sum of its proper divisors (226912668030).

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

107790633090 is a wasteful number, since it uses less digits than its factorization.

107790633090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076153 (or 1076147 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The spelling of 107790633090 in words is "one hundred seven billion, seven hundred ninety million, six hundred thirty-three thousand, ninety".