100890890881 has 8 divisors (see below), whose sum is σ = 110125382400. Its totient is φ = 91666831440.

The previous prime is 100890890861. The next prime is 100890890921. The reversal of 100890890881 is 188098098001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100890890881 is a prime.

It is a super-2 number, since 2×100890890881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100890890831) 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, 2587786 + ... + 2626483.

It is an arithmetic number, because the mean of its divisors is an integer number (13765672800).

Almost surely, 2^100890890881 is an apocalyptic number.

100890890881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100890890881 is a deficient number, since it is larger than the sum of its proper divisors (9234491519).

100890890881 is a wasteful number, since it uses less digits than its factorization.

100890890881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216039.

The product of its (nonzero) digits is 331776, while the sum is 52.

The spelling of 100890890881 in words is "one hundred billion, eight hundred ninety million, eight hundred ninety thousand, eight hundred eighty-one".