106099672 has 32 divisors (see below), whose sum is σ = 227808000. Its totient is φ = 45381024.

The previous prime is 106099613. The next prime is 106099681. The reversal of 106099672 is 276990601.

It is a super-2 number, since 2×106099672² = 22514280797015168, 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 7 ways as a sum of consecutive naturals, for example, 31963 + ... + 35125.

It is an arithmetic number, because the mean of its divisors is an integer number (7119000).

Almost surely, 2^106099672 is an apocalyptic number.

It is an amenable number.

106099672 is an abundant number, since it is smaller than the sum of its proper divisors (121708328).

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

106099672 is a wasteful number, since it uses less digits than its factorization.

106099672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 106099672 is about 10300.4695038624. The cubic root of 106099672 is about 473.4106391402.

The spelling of 106099672 in words is "one hundred six million, ninety-nine thousand, six hundred seventy-two".