90010106001 has 24 divisors (see below), whose sum is σ = 132165307560. Its totient is φ = 59022141696.

The previous prime is 90010105993. The next prime is 90010106029. The reversal of 90010106001 is 10060101009.

It can be written as a sum of positive squares in 4 ways, for example, as 31712486400 + 58297619601 = 178080^2 + 241449^2 .

It is not a de Polignac number, because 90010106001 - 2³ = 90010105993 is a prime.

It is a super-2 number, since 2×90010106001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90010106051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200470 + ... + 469263.

It is an arithmetic number, because the mean of its divisors is an integer number (5506887815).

Almost surely, 2^90010106001 is an apocalyptic number.

It is an amenable number.

90010106001 is a deficient number, since it is larger than the sum of its proper divisors (42155201559).

90010106001 is a wasteful number, since it uses less digits than its factorization.

90010106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669985 (or 669982 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 90010106001 in words is "ninety billion, ten million, one hundred six thousand, one".