90100570144 has 48 divisors (see below), whose sum is σ = 191273963328. Its totient is φ = 41531887872.

The previous prime is 90100570123. The next prime is 90100570169. The reversal of 90100570144 is 44107500109.

It is a super-2 number, since 2×90100570144² (a number of 23 digits) contains 22 as substring.

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, 189789 + ... + 464995.

It is an arithmetic number, because the mean of its divisors is an integer number (3984874236).

Almost surely, 2^90100570144 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 90100570144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95636981664).

90100570144 is an abundant number, since it is smaller than the sum of its proper divisors (101173393184).

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

90100570144 is a wasteful number, since it uses less digits than its factorization.

90100570144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276017 (or 276009 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 90100570144 in words is "ninety billion, one hundred million, five hundred seventy thousand, one hundred forty-four".