106089264 has 100 divisors (see below), whose sum is σ = 310282720. Its totient is φ = 34992000.

The previous prime is 106089251. The next prime is 106089307. The reversal of 106089264 is 462980601.

It is a super-2 number, since 2×106089264² = 22509863872123392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140889 + ... + 141639.

Almost surely, 2^106089264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106089264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155141360).

106089264 is an abundant number, since it is smaller than the sum of its proper divisors (204193456).

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

106089264 is a wasteful number, since it uses less digits than its factorization.

106089264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106089264 is about 10299.9642717827. The cubic root of 106089264 is about 473.3951586680.

The spelling of 106089264 in words is "one hundred six million, eighty-nine thousand, two hundred sixty-four".