101142400 has 48 divisors (see below), whose sum is σ = 249861240. Its totient is φ = 40455680.

The previous prime is 101142397. The next prime is 101142439. The reversal of 101142400 is 4241101.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 12604 + ... + 19003.

Almost surely, 2^101142400 is an apocalyptic number.

101142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142400 is an abundant number, since it is smaller than the sum of its proper divisors (148718840).

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

101142400 is an equidigital number, since it uses as much as digits as its factorization.

101142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31631 (or 31614 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101142400 is about 10056.9577905050. The cubic root of 101142400 is about 465.9197120792.

Adding to 101142400 its reverse (4241101), we get a palindrome (105383501).

The spelling of 101142400 in words is "one hundred one million, one hundred forty-two thousand, four hundred".