101070400 has 84 divisors (see below), whose sum is σ = 250786900. Its totient is φ = 40089600.

The previous prime is 101070391. The next prime is 101070413. The reversal of 101070400 is 4070101.

It can be written as a sum of positive squares in 6 ways, for example, as 12559936 + 88510464 = 3544^2 + 9408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289426 + ... + 289774.

Almost surely, 2^101070400 is an apocalyptic number.

101070400 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 101070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125393450).

101070400 is an abundant number, since it is smaller than the sum of its proper divisors (149716500).

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

101070400 is a wasteful number, since it uses less digits than its factorization.

101070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 101070400 is about 10053.3775419010. The cubic root of 101070400 is about 465.8091281151.

The spelling of 101070400 in words is "one hundred one million, seventy thousand, four hundred".