107692318461672 has 192 divisors, whose sum is σ = 333508379443200. Its totient is φ = 30753084257280.

The previous prime is 107692318461661. The next prime is 107692318461683. The reversal of 107692318461672 is 276164813296701.

107692318461672 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 9 + 2 + 3 + 1 + 8 + 4 + 616 + 7 + 2 = 666.

107692318461672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107692318461661) and next prime (107692318461683).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11653746972 + ... + 11653756212.

It is an arithmetic number, because the mean of its divisors is an integer number (1737022809600).

Almost surely, 2^{107692318461672} is an apocalyptic number.

107692318461672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107692318461672 is an abundant number, since it is smaller than the sum of its proper divisors (225816060981528).

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

107692318461672 is a wasteful number, since it uses less digits than its factorization.

107692318461672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18896 (or 18889 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 107692318461672 in words is "one hundred seven trillion, six hundred ninety-two billion, three hundred eighteen million, four hundred sixty-one thousand, six hundred seventy-two".