101292800 has 324 divisors, whose sum is σ = 325057320. Its totient is φ = 30965760.

The previous prime is 101292797. The next prime is 101292803. The reversal of 101292800 is 8292101.

It is an interprime number because it is at equal distance from previous prime (101292797) and next prime (101292803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101292803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5331191 + ... + 5331209.

Almost surely, 2^101292800 is an apocalyptic number.

101292800 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 101292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162528660).

101292800 is an abundant number, since it is smaller than the sum of its proper divisors (223764520).

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

101292800 is a wasteful number, since it uses less digits than its factorization.

101292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 101292800 is about 10064.4324231424. The cubic root of 101292800 is about 466.1505404939.

The spelling of 101292800 in words is "one hundred one million, two hundred ninety-two thousand, eight hundred".