100977849 has 12 divisors (see below), whose sum is σ = 166693696. Its totient is φ = 57701592.

The previous prime is 100977829. The next prime is 100977859. The reversal of 100977849 is 948779001.

It is not a de Polignac number, because 100977849 - 2¹² = 100973753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100977809) 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, 801349 + ... + 801474.

Almost surely, 2^100977849 is an apocalyptic number.

It is an amenable number.

100977849 is a deficient number, since it is larger than the sum of its proper divisors (65715847).

100977849 is a wasteful number, since it uses less digits than its factorization.

100977849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602836 (or 1602833 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 100977849 is about 10048.7735072495. The cubic root of 100977849 is about 465.6669029388. Note that the first 3 decimals are identical.

The spelling of 100977849 in words is "one hundred million, nine hundred seventy-seven thousand, eight hundred forty-nine".