101352840 has 64 divisors (see below), whose sum is σ = 320068800. Its totient is φ = 25604352.

The previous prime is 101352817. The next prime is 101352841. The reversal of 101352840 is 48253101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101352840.

It is not an unprimeable number, because it can be changed into a prime (101352841) 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, 19947 + ... + 24506.

It is an arithmetic number, because the mean of its divisors is an integer number (5001075).

Almost surely, 2^101352840 is an apocalyptic number.

101352840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101352840 is an abundant number, since it is smaller than the sum of its proper divisors (218715960).

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

101352840 is a wasteful number, since it uses less digits than its factorization.

101352840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44486 (or 44482 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101352840 is about 10067.4147624899. The cubic root of 101352840 is about 466.2426238750.

The spelling of 101352840 in words is "one hundred one million, three hundred fifty-two thousand, eight hundred forty".