101392800 has 144 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 26659840.

The previous prime is 101392793. The next prime is 101392807. The reversal of 101392800 is 8293101.

It is an interprime number because it is at equal distance from previous prime (101392793) and next prime (101392807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101392807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198946 + ... + 199454.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^101392800 is an apocalyptic number.

101392800 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 101392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

101392800 is an abundant number, since it is smaller than the sum of its proper divisors (233273280).

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

101392800 is a wasteful number, since it uses less digits than its factorization.

101392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101392800 is about 10069.3991876378. The cubic root of 101392800 is about 466.3038903945.

The spelling of 101392800 in words is "one hundred one million, three hundred ninety-two thousand, eight hundred".