101057352 has 64 divisors (see below), whose sum is σ = 290131200. Its totient is φ = 29010240.

The previous prime is 101057351. The next prime is 101057387. The reversal of 101057352 is 253750101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101057351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5058 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (4533300).

Almost surely, 2^101057352 is an apocalyptic number.

101057352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101057352 is an abundant number, since it is smaller than the sum of its proper divisors (189073848).

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

101057352 is a wasteful number, since it uses less digits than its factorization.

101057352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20186 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 101057352 is about 10052.7285848172. The cubic root of 101057352 is about 465.7890822228.

The spelling of 101057352 in words is "one hundred one million, fifty-seven thousand, three hundred fifty-two".