100785870360 has 384 divisors, whose sum is σ = 396713116800. Its totient is φ = 21699256320.

The previous prime is 100785870337. The next prime is 100785870413. The reversal of 100785870360 is 63078587001.

100785870360 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 587 + 0 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2979462 + ... + 3013098.

It is an arithmetic number, because the mean of its divisors is an integer number (1033107075).

Almost surely, 2^100785870360 is an apocalyptic number.

100785870360 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 100785870360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198356558400).

100785870360 is an abundant number, since it is smaller than the sum of its proper divisors (295927246440).

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

100785870360 is a wasteful number, since it uses less digits than its factorization.

100785870360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33731 (or 33724 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 100785870360 in words is "one hundred billion, seven hundred eighty-five million, eight hundred seventy thousand, three hundred sixty".