100776960 has 220 divisors, whose sum is σ = 362613768. Its totient is φ = 26873856.

The previous prime is 100776953. The next prime is 100776967. The reversal of 100776960 is 69677001.

It is an interprime number because it is at equal distance from previous prime (100776953) and next prime (100776967).

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 (100776967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20155390 + ... + 20155394.

Almost surely, 2^100776960 is an apocalyptic number.

100776960 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 100776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181306884).

100776960 is an abundant number, since it is smaller than the sum of its proper divisors (261836808).

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

100776960 is an frugal number, since it uses more digits than its factorization.

100776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

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

The square root of 100776960 is about 10038.7728333696. The cubic root of 100776960 is about 465.3578930469.

The spelling of 100776960 in words is "one hundred million, seven hundred seventy-six thousand, nine hundred sixty".