900106551960 has 128 divisors (see below), whose sum is σ = 3366632332800. Its totient is φ = 187035125760.

The previous prime is 900106551941. The next prime is 900106551977. The reversal of 900106551960 is 69155601009.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48697825 + ... + 48716304.

It is an arithmetic number, because the mean of its divisors is an integer number (26301815100).

Almost surely, 2^900106551960 is an apocalyptic number.

It is an amenable number.

900106551960 is an abundant number, since it is smaller than the sum of its proper divisors (2466525780840).

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

900106551960 is a wasteful number, since it uses less digits than its factorization.

900106551960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97414161 (or 97414157 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 900106551960 in words is "nine hundred billion, one hundred six million, five hundred fifty-one thousand, nine hundred sixty".