90106512 has 40 divisors (see below), whose sum is σ = 245028960. Its totient is φ = 28454400.

The previous prime is 90106469. The next prime is 90106517. The reversal of 90106512 is 21560109.

It is a super-2 number, since 2×90106512² = 16238367009612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (90106517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48489 + ... + 50312.

It is an arithmetic number, because the mean of its divisors is an integer number (6125724).

Almost surely, 2^90106512 is an apocalyptic number.

It is an amenable number.

90106512 is an abundant number, since it is smaller than the sum of its proper divisors (154922448).

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

90106512 is a wasteful number, since it uses less digits than its factorization.

90106512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98831 (or 98825 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 90106512 is about 9492.4449958902. Note that the first 3 decimals coincide. The cubic root of 90106512 is about 448.3171913992.

The spelling of 90106512 in words is "ninety million, one hundred six thousand, five hundred twelve".