101129600 has 288 divisors, whose sum is σ = 312468840. Its totient is φ = 31948800.

The previous prime is 101129591. The next prime is 101129603. The reversal of 101129600 is 6921101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101129603) 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, 5948792 + ... + 5948808.

Almost surely, 2^101129600 is an apocalyptic number.

101129600 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 101129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156234420).

101129600 is an abundant number, since it is smaller than the sum of its proper divisors (211339240).

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

101129600 is a wasteful number, since it uses less digits than its factorization.

101129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 101129600 is about 10056.3213950231. The cubic root of 101129600 is about 465.9000565443.

The spelling of 101129600 in words is "one hundred one million, one hundred twenty-nine thousand, six hundred".