1000108290192 has 160 divisors (see below), whose sum is σ = 2869979357184. Its totient is φ = 297544665600.

The previous prime is 1000108290169. The next prime is 1000108290217. The reversal of 1000108290192 is 2910928010001.

It is a super-2 number, since 2×1000108290192² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 17589393 + ... + 17646159.

Almost surely, 2^{1000108290192} is an apocalyptic number.

1000108290192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000108290192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434989678592).

1000108290192 is an abundant number, since it is smaller than the sum of its proper divisors (1869871066992).

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

1000108290192 is a wasteful number, since it uses less digits than its factorization.

1000108290192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57397 (or 57391 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 1000108290192 in words is "one trillion, one hundred eight million, two hundred ninety thousand, one hundred ninety-two".