101001600 has 384 divisors, whose sum is σ = 424972800. Its totient is φ = 22947840.

The previous prime is 101001599. The next prime is 101001613. The reversal of 101001600 is 6100101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604717 + ... + 604883.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^101001600 is an apocalyptic number.

101001600 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 101001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

101001600 is an abundant number, since it is smaller than the sum of its proper divisors (323971200).

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

101001600 is a wasteful number, since it uses less digits than its factorization.

101001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101001600 is about 10049.9552237809. The cubic root of 101001600 is about 465.7034099143.

Adding to 101001600 its reverse (6100101), we get a palindrome (107101701).

The spelling of 101001600 in words is "one hundred one million, one thousand, six hundred".