101252360 has 64 divisors (see below), whose sum is σ = 249609600. Its totient is φ = 36659200.

The previous prime is 101252353. The next prime is 101252377. The reversal of 101252360 is 63252101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157640 + ... + 158280.

It is an arithmetic number, because the mean of its divisors is an integer number (3900150).

Almost surely, 2^101252360 is an apocalyptic number.

101252360 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 101252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124804800).

101252360 is an abundant number, since it is smaller than the sum of its proper divisors (148357240).

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

101252360 is a wasteful number, since it uses less digits than its factorization.

101252360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 101252360 is about 10062.4231674085. The cubic root of 101252360 is about 466.0884971334.

The spelling of 101252360 in words is "one hundred one million, two hundred fifty-two thousand, three hundred sixty".