100677000960 has 216 divisors, whose sum is σ = 349574110704. Its totient is φ = 26751467520.

The previous prime is 100677000911. The next prime is 100677000961. The reversal of 100677000960 is 69000776001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100677000961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244720 + ... + 3275600.

Almost surely, 2^100677000960 is an apocalyptic number.

100677000960 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 100677000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787055352).

100677000960 is an abundant number, since it is smaller than the sum of its proper divisors (248897109744).

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

100677000960 is a wasteful number, since it uses less digits than its factorization.

100677000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31191 (or 31174 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 100677000960 its reverse (69000776001), we get a palindrome (169677776961).

The spelling of 100677000960 in words is "one hundred billion, six hundred seventy-seven million, nine hundred sixty", and thus it is an aban number.