10091952 has 100 divisors (see below), whose sum is σ = 31508400. Its totient is φ = 3100032.

The previous prime is 10091947. The next prime is 10091953. The reversal of 10091952 is 25919001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10091953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16549 + ... + 17147.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 2^10091952 is an apocalyptic number.

10091952 is a gapful number since it is divisible by the number (12) 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 10091952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754200).

10091952 is an abundant number, since it is smaller than the sum of its proper divisors (21416448).

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

10091952 is a wasteful number, since it uses less digits than its factorization.

10091952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10091952 is about 3176.7832787271. The cubic root of 10091952 is about 216.1018038627.

The spelling of 10091952 in words is "ten million, ninety-one thousand, nine hundred fifty-two".