100977408 has 144 divisors (see below), whose sum is σ = 341429760. Its totient is φ = 28836864.

The previous prime is 100977377. The next prime is 100977431. The reversal of 100977408 is 804779001.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47341 + ... + 49427.

It is an arithmetic number, because the mean of its divisors is an integer number (2371040).

Almost surely, 2^100977408 is an apocalyptic number.

100977408 is a gapful number since it is divisible by the number (18) 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 100977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170714880).

100977408 is an abundant number, since it is smaller than the sum of its proper divisors (240452352).

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

100977408 is an equidigital number, since it uses as much as digits as its factorization.

100977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 100977408 is about 10048.7515642492. The cubic root of 100977408 is about 465.6662250363. Note that the first 3 decimals are identical.

The spelling of 100977408 in words is "one hundred million, nine hundred seventy-seven thousand, four hundred eight".