101080460 has 48 divisors (see below), whose sum is σ = 235990272. Its totient is φ = 36115200.

The previous prime is 101080451. The next prime is 101080481. The reversal of 101080460 is 64080101.

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

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, 1790 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (4916464).

Almost surely, 2^101080460 is an apocalyptic number.

101080460 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 101080460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117995136).

101080460 is an abundant number, since it is smaller than the sum of its proper divisors (134909812).

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

101080460 is a wasteful number, since it uses less digits than its factorization.

101080460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 101080460 is about 10053.8778588165. The cubic root of 101080460 is about 465.8245823080.

The spelling of 101080460 in words is "one hundred one million, eighty thousand, four hundred sixty".