101925264 has 80 divisors (see below), whose sum is σ = 302044160. Its totient is φ = 29013120.

The previous prime is 101925223. The next prime is 101925287. The reversal of 101925264 is 462529101.

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, 147159 + ... + 147849.

It is an arithmetic number, because the mean of its divisors is an integer number (3775552).

Almost surely, 2^101925264 is an apocalyptic number.

101925264 is a gapful number since it is divisible by the number (14) 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 101925264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151022080).

101925264 is an abundant number, since it is smaller than the sum of its proper divisors (200118896).

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

101925264 is a wasteful number, since it uses less digits than its factorization.

101925264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 101925264 is about 10095.8042770252. The cubic root of 101925264 is about 467.1187301952.

The spelling of 101925264 in words is "one hundred one million, nine hundred twenty-five thousand, two hundred sixty-four".