101249920 has 64 divisors (see below), whose sum is σ = 243343440. Its totient is φ = 40284160.

The previous prime is 101249903. The next prime is 101249947. The reversal of 101249920 is 29942101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179559 + ... + 180121.

Almost surely, 2^101249920 is an apocalyptic number.

101249920 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 101249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121671720).

101249920 is an abundant number, since it is smaller than the sum of its proper divisors (142093520).

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

101249920 is an equidigital number, since it uses as much as digits as its factorization.

101249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101249920 is about 10062.3019235163. The cubic root of 101249920 is about 466.0847531382.

The spelling of 101249920 in words is "one hundred one million, two hundred forty-nine thousand, nine hundred twenty".