100089668145146 has 64 divisors (see below), whose sum is σ = 157392099216000. Its totient is φ = 47675915400960.

The previous prime is 100089668145127. The next prime is 100089668145197. The reversal of 100089668145146 is 641541866980001.

It is a super-2 number, since 2×100089668145146² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835167145 + ... + 1835221683.

It is an arithmetic number, because the mean of its divisors is an integer number (2459251550250).

Almost surely, 2^{100089668145146} is an apocalyptic number.

100089668145146 is a deficient number, since it is larger than the sum of its proper divisors (57302431070854).

100089668145146 is a wasteful number, since it uses less digits than its factorization.

100089668145146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55887.

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 100089668145146 in words is "one hundred trillion, eighty-nine billion, six hundred sixty-eight million, one hundred forty-five thousand, one hundred forty-six".