101266400 has 36 divisors (see below), whose sum is σ = 247218552. Its totient is φ = 40506240.

The previous prime is 101266397. The next prime is 101266421. The reversal of 101266400 is 4662101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 62492 + ... + 64091.

It is an arithmetic number, because the mean of its divisors is an integer number (6867182).

Almost surely, 2^101266400 is an apocalyptic number.

101266400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101266400 is an abundant number, since it is smaller than the sum of its proper divisors (145952152).

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

101266400 is a wasteful number, since it uses less digits than its factorization.

101266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126603 (or 126590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 101266400 is about 10063.1207883042. The cubic root of 101266400 is about 466.1100392817.

The spelling of 101266400 in words is "one hundred one million, two hundred sixty-six thousand, four hundred".