100752782850 has 96 divisors (see below), whose sum is σ = 280975141440. Its totient is φ = 26543675520.

The previous prime is 100752782843. The next prime is 100752782861. The reversal of 100752782850 is 58287257001.

It is a super-2 number, since 2×100752782850² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100752782796 and 100752782805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337539 + ... + 561638.

It is an arithmetic number, because the mean of its divisors is an integer number (2926824390).

Almost surely, 2^100752782850 is an apocalyptic number.

100752782850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100752782850 is an abundant number, since it is smaller than the sum of its proper divisors (180222358590).

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

100752782850 is a wasteful number, since it uses less digits than its factorization.

100752782850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899281 (or 899270 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 100752782850 in words is "one hundred billion, seven hundred fifty-two million, seven hundred eighty-two thousand, eight hundred fifty".