101038080 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 21626880.

The previous prime is 101038043. The next prime is 101038097. The reversal of 101038080 is 80830101.

It is a happy number.

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

It is a super-2 number, since 2×101038080² = 20417387220172800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392949 + ... + 4392971.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^101038080 is an apocalyptic number.

101038080 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 101038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

101038080 is an abundant number, since it is smaller than the sum of its proper divisors (295226880).

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

101038080 is a wasteful number, since it uses less digits than its factorization.

101038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101038080 is about 10051.7699933892. The cubic root of 101038080 is about 465.7594711234.

Adding to 101038080 its reverse (80830101), we get a palindrome (181868181).

The spelling of 101038080 in words is "one hundred one million, thirty-eight thousand, eighty".