100461637866870 has 96 divisors (see below), whose sum is σ = 298710588264192. Its totient is φ = 22947582609216.

The previous prime is 100461637866869. The next prime is 100461637866901. The reversal of 100461637866870 is 78668736164001.

It is a happy number.

100461637866870 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 616 + 3 + 7 + 8 + 6 + 6 + 8 + 7 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100461637866798 and 100461637866807.

It is a congruent number.

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, 51392092 + ... + 53311071.

It is an arithmetic number, because the mean of its divisors is an integer number (3111568627752).

Almost surely, 2^{100461637866870} is an apocalyptic number.

100461637866870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100461637866870 is an abundant number, since it is smaller than the sum of its proper divisors (198248950397322).

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

100461637866870 is a wasteful number, since it uses less digits than its factorization.

100461637866870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104704706 (or 104704703 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 100461637866870 in words is "one hundred trillion, four hundred sixty-one billion, six hundred thirty-seven million, eight hundred sixty-six thousand, eight hundred seventy".