101050080 has 96 divisors (see below), whose sum is σ = 328624128. Its totient is φ = 26073600.

The previous prime is 101050069. The next prime is 101050097. The reversal of 101050080 is 80050101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101050080² = 20422237336012800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11485 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (3423168).

Almost surely, 2^101050080 is an apocalyptic number.

101050080 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 101050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164312064).

101050080 is an abundant number, since it is smaller than the sum of its proper divisors (227574048).

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

101050080 is a wasteful number, since it uses less digits than its factorization.

101050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6832 counting only the distinct ones).

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

The square root of 101050080 is about 10052.3668854653. The cubic root of 101050080 is about 465.7779093611. Note that the first 3 decimals are identical.

101050080 divided by its product of nonzero digits (40) gives a palindrome (2526252).

The spelling of 101050080 in words is "one hundred one million, fifty thousand, eighty".