100870000712640 has 896 divisors, whose sum is σ = 364162617815040. Its totient is φ = 26277919948800.

The previous prime is 100870000712639. The next prime is 100870000712641. The reversal of 100870000712640 is 46217000078001.

100870000712640 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 7 + 0 + 0 + 0 + 0 + 7 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (100870000712639) and next prime (100870000712641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100870000712595 and 100870000712604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100870000712641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67834565977 + ... + 67834567463.

Almost surely, 2^{100870000712640} is an apocalyptic number.

100870000712640 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 100870000712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182081308907520).

100870000712640 is an abundant number, since it is smaller than the sum of its proper divisors (263292617102400).

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

100870000712640 is a wasteful number, since it uses less digits than its factorization.

100870000712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 100870000712640 in words is "one hundred trillion, eight hundred seventy billion, seven hundred twelve thousand, six hundred forty".