100752782796 has 120 divisors (see below), whose sum is σ = 271457130560. Its totient is φ = 32566611168.

The previous prime is 100752782789. The next prime is 100752782797. The reversal of 100752782796 is 697287257001.

It is a happy number.

100752782796 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 527 + 8 + 27 + 96 = 666.

It is a super-2 number, since 2×100752782796² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (100752782797) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1910535 + ... + 1962561.

Almost surely, 2^100752782796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100752782796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135728565280).

100752782796 is an abundant number, since it is smaller than the sum of its proper divisors (170704347764).

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

100752782796 is a wasteful number, since it uses less digits than its factorization.

100752782796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52225 (or 52214 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 100752782796 in words is "one hundred billion, seven hundred fifty-two million, seven hundred eighty-two thousand, seven hundred ninety-six".