101912400 has 90 divisors (see below), whose sum is σ = 353676830. Its totient is φ = 27175680.

The previous prime is 101912389. The next prime is 101912401. The reversal of 101912400 is 4219101.

It can be written as a sum of positive squares in 3 ways, for example, as 4613904 + 97298496 = 2148^2 + 9864^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×101912400² = 20772274547520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101912401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 10555 + ... + 17754.

Almost surely, 2^101912400 is an apocalyptic number.

101912400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101912400 is an abundant number, since it is smaller than the sum of its proper divisors (251764430).

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

101912400 is a wasteful number, since it uses less digits than its factorization.

101912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28333 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101912400 is about 10095.1671605774. The cubic root of 101912400 is about 467.0990776644.

The spelling of 101912400 in words is "one hundred one million, nine hundred twelve thousand, four hundred".