100776956 has 48 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 41620800.

The previous prime is 100776953. The next prime is 100776967. The reversal of 100776956 is 659677001.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100776953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86981 + ... + 88131.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^100776956 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 100776956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

100776956 is an abundant number, since it is smaller than the sum of its proper divisors (108241924).

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

100776956 is a wasteful number, since it uses less digits than its factorization.

100776956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 100776956 is about 10038.7726341421. The cubic root of 100776956 is about 465.3578868900.

The spelling of 100776956 in words is "one hundred million, seven hundred seventy-six thousand, nine hundred fifty-six".