106480400 has 60 divisors (see below), whose sum is σ = 275511012. Its totient is φ = 39313920.

The previous prime is 106480393. The next prime is 106480411. The reversal of 106480400 is 4084601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3579664 + 102900736 = 1892^2 + 10144^2 .

It is a super-2 number, since 2×106480400² = 22676151168320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5039 + ... + 15438.

Almost surely, 2^106480400 is an apocalyptic number.

106480400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106480400 is an abundant number, since it is smaller than the sum of its proper divisors (169030612).

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

106480400 is a wasteful number, since it uses less digits than its factorization.

106480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20508 (or 20497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 106480400 is about 10318.9340534766. The cubic root of 106480400 is about 473.9762253145.

The spelling of 106480400 in words is "one hundred six million, four hundred eighty thousand, four hundred".