106581990 has 32 divisors (see below), whose sum is σ = 256421376. Its totient is φ = 28352480.

The previous prime is 106581961. The next prime is 106582019. The reversal of 106581990 is 99185601.

It is an interprime number because it is at equal distance from previous prime (106581961) and next prime (106582019).

It is a super-2 number, since 2×106581990² = 22719441184720200, which contains 22 as substring.

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, 8809 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (8013168).

Almost surely, 2^106581990 is an apocalyptic number.

106581990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106581990 is an abundant number, since it is smaller than the sum of its proper divisors (149839386).

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

106581990 is a wasteful number, since it uses less digits than its factorization.

106581990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8684.

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 106581990 is about 10323.8553844966. The cubic root of 106581990 is about 474.1269132645.

The spelling of 106581990 in words is "one hundred six million, five hundred eighty-one thousand, nine hundred ninety".