101146680990 has 32 divisors (see below), whose sum is σ = 269724483360. Its totient is φ = 26972448192.

The previous prime is 101146680983. The next prime is 101146681007. The reversal of 101146680990 is 99086641101.

101146680990 is a `hidden beast` number, since 10 + 11 + 466 + 80 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187308399 + ... + 187308938.

It is an arithmetic number, because the mean of its divisors is an integer number (8428890105).

Almost surely, 2^101146680990 is an apocalyptic number.

101146680990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101146680990 is an abundant number, since it is smaller than the sum of its proper divisors (168577802370).

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

101146680990 is a wasteful number, since it uses less digits than its factorization.

101146680990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374617353 (or 374617347 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101146680990 in words is "one hundred one billion, one hundred forty-six million, six hundred eighty thousand, nine hundred ninety".