100057622029092 has 216 divisors, whose sum is σ = 316906314604152. Its totient is φ = 26384061312000.

The previous prime is 100057622029069. The next prime is 100057622029093. The reversal of 100057622029092 is 290920226750001.

100057622029092 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 57 + 6 + 220 + 290 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4778665952256 + 95278956076836 = 2186016^2 + 9761094^2 .

It is a super-2 number, since 2×100057622029092² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100057622029093) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127592592 + ... + 128374392.

Almost surely, 2^{100057622029092} is an apocalyptic number.

100057622029092 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 100057622029092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158453157302076).

100057622029092 is an abundant number, since it is smaller than the sum of its proper divisors (216848692575060).

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

100057622029092 is a wasteful number, since it uses less digits than its factorization.

100057622029092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787419 (or 787407 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

Adding to 100057622029092 its reverse (290920226750001), we get a palindrome (390977848779093).

The spelling of 100057622029092 in words is "one hundred trillion, fifty-seven billion, six hundred twenty-two million, twenty-nine thousand, ninety-two".