100677611952 has 240 divisors, whose sum is σ = 291088512000. Its totient is φ = 32469465600.

The previous prime is 100677611917. The next prime is 100677611981. The reversal of 100677611952 is 259116776001.

It is a junction number, because it is equal to n+sod(n) for n = 100677611898 and 100677611907.

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, 229333749 + ... + 229334187.

It is an arithmetic number, because the mean of its divisors is an integer number (1212868800).

Almost surely, 2^100677611952 is an apocalyptic number.

100677611952 is a gapful number since it is divisible by the number (12) 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 100677611952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256000).

100677611952 is an abundant number, since it is smaller than the sum of its proper divisors (190410900048).

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

100677611952 is a wasteful number, since it uses less digits than its factorization.

100677611952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 100677611952 in words is "one hundred billion, six hundred seventy-seven million, six hundred eleven thousand, nine hundred fifty-two".