101416800 has 72 divisors (see below), whose sum is σ = 330119496. Its totient is φ = 27043840.

The previous prime is 101416793. The next prime is 101416817. The reversal of 101416800 is 8614101.

It is a congruent number.

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, 18729 + ... + 23528.

It is an arithmetic number, because the mean of its divisors is an integer number (4584993).

Almost surely, 2^101416800 is an apocalyptic number.

101416800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101416800 is an abundant number, since it is smaller than the sum of its proper divisors (228702696).

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

101416800 is a wasteful number, since it uses less digits than its factorization.

101416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42280 (or 42267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101416800 is about 10070.5908466187. The cubic root of 101416800 is about 466.3406793660.

The spelling of 101416800 in words is "one hundred one million, four hundred sixteen thousand, eight hundred".