101799264 has 288 divisors, whose sum is σ = 351630720. Its totient is φ = 25546752.

The previous prime is 101799259. The next prime is 101799289. The reversal of 101799264 is 462997101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519359 + ... + 1519425.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^101799264 is an apocalyptic number.

101799264 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 101799264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

101799264 is an abundant number, since it is smaller than the sum of its proper divisors (249831456).

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

101799264 is a wasteful number, since it uses less digits than its factorization.

101799264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 101799264 is about 10089.5621312325. The cubic root of 101799264 is about 466.9261667837.

The spelling of 101799264 in words is "one hundred one million, seven hundred ninety-nine thousand, two hundred sixty-four".