101404900 has 81 divisors (see below), whose sum is σ = 236704251. Its totient is φ = 37702080.

The previous prime is 101404889. The next prime is 101404921. The reversal of 101404900 is 9404101.

The square root of 101404900 is 10070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 100641024 = 874^2 + 10032^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1913274 + ... + 1913326.

Almost surely, 2^101404900 is an apocalyptic number.

101404900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101404900 is the 10070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101404900

101404900 is an abundant number, since it is smaller than the sum of its proper divisors (135299351).

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

101404900 is a wasteful number, since it uses less digits than its factorization.

101404900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 101404900 is about 466.3224388931.

Multiplying 101404900 by its product of nonzero digits (144), we get a square (14602305600 = 120840²).

The spelling of 101404900 in words is "one hundred one million, four hundred four thousand, nine hundred".