100785861869472 has 144 divisors (see below), whose sum is σ = 315223866397440. Its totient is φ = 30351225125376.

The previous prime is 100785861869461. The next prime is 100785861869491. The reversal of 100785861869472 is 274968168587001.

It is a happy number.

100785861869472 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 5 + 86 + 18 + 69 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 100785861869472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286199572 + ... + 286551507.

It is an arithmetic number, because the mean of its divisors is an integer number (2189054627760).

Almost surely, 2^{100785861869472} is an apocalyptic number.

100785861869472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100785861869472 is an abundant number, since it is smaller than the sum of its proper divisors (214438004527968).

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

100785861869472 is a wasteful number, since it uses less digits than its factorization.

100785861869472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572751155 (or 572751144 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 100785861869472 in words is "one hundred trillion, seven hundred eighty-five billion, eight hundred sixty-one million, eight hundred sixty-nine thousand, four hundred seventy-two".