100977252 has 36 divisors (see below), whose sum is σ = 238077840. Its totient is φ = 33310592.

The previous prime is 100977251. The next prime is 100977257. The reversal of 100977252 is 252779001.

It is not an unprimeable number, because it can be changed into a prime (100977251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152899 + ... + 153557.

Almost surely, 2^100977252 is an apocalyptic number.

100977252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100977252 is an abundant number, since it is smaller than the sum of its proper divisors (137100588).

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

100977252 is a wasteful number, since it uses less digits than its factorization.

100977252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 100977252 is about 10048.7438020879. The cubic root of 100977252 is about 465.6659852336.

The spelling of 100977252 in words is "one hundred million, nine hundred seventy-seven thousand, two hundred fifty-two".