101050800 has 120 divisors (see below), whose sum is σ = 327139776. Its totient is φ = 26661120.

The previous prime is 101050783. The next prime is 101050823. The reversal of 101050800 is 8050101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×101050800² = 20422528361280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101050800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128007 + ... + 128793.

Almost surely, 2^101050800 is an apocalyptic number.

101050800 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 101050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163569888).

101050800 is an abundant number, since it is smaller than the sum of its proper divisors (226088976).

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

101050800 is a wasteful number, since it uses less digits than its factorization.

101050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 101050800 is about 10052.4026978628. The cubic root of 101050800 is about 465.7790156089.

The spelling of 101050800 in words is "one hundred one million, fifty thousand, eight hundred".