101116400 has 240 divisors, whose sum is σ = 313670400. Its totient is φ = 31046400.

The previous prime is 101116387. The next prime is 101116427. The reversal of 101116400 is 4611101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509167 + ... + 1509233.

It is an arithmetic number, because the mean of its divisors is an integer number (1306960).

Almost surely, 2^101116400 is an apocalyptic number.

101116400 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 101116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156835200).

101116400 is an abundant number, since it is smaller than the sum of its proper divisors (212554000).

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

101116400 is a wasteful number, since it uses less digits than its factorization.

101116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101116400 is about 10055.6650699991. The cubic root of 101116400 is about 465.8797850368.

Adding to 101116400 its reverse (4611101), we get a palindrome (105727501).

The spelling of 101116400 in words is "one hundred one million, one hundred sixteen thousand, four hundred".