101053600 has 36 divisors (see below), whose sum is σ = 246699054. Its totient is φ = 40421120.

The previous prime is 101053543. The next prime is 101053613. The reversal of 101053600 is 6350101.

It can be written as a sum of positive squares in 3 ways, for example, as 51322896 + 49730704 = 7164^2 + 7052^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 62359 + ... + 63958.

Almost surely, 2^101053600 is an apocalyptic number.

101053600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101053600 is an abundant number, since it is smaller than the sum of its proper divisors (145645454).

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

101053600 is a wasteful number, since it uses less digits than its factorization.

101053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126337 (or 126324 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 101053600 is about 10052.5419670847. The cubic root of 101053600 is about 465.7833176339.

The spelling of 101053600 in words is "one hundred one million, fifty-three thousand, six hundred".