106581408 has 24 divisors (see below), whose sum is σ = 279776448. Its totient is φ = 35527104.

The previous prime is 106581401. The next prime is 106581421. The reversal of 106581408 is 804185601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106581408² = 22719193062524928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106581401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555016 + ... + 555207.

It is an arithmetic number, because the mean of its divisors is an integer number (11657352).

Almost surely, 2^106581408 is an apocalyptic number.

It is an amenable number.

106581408 is an abundant number, since it is smaller than the sum of its proper divisors (173195040).

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

106581408 is a wasteful number, since it uses less digits than its factorization.

106581408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110236 (or 1110228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 106581408 is about 10323.8271973140. The cubic root of 106581408 is about 474.1260502595.

The spelling of 106581408 in words is "one hundred six million, five hundred eighty-one thousand, four hundred eight".