190632972860100 has 189 divisors, whose sum is σ = 620238728906167. Its totient is φ = 50834465326080.

The previous prime is 190632972860087. The next prime is 190632972860123. The reversal of 190632972860100 is 1068279236091.

The square root of 190632972860100 is 13806990.

It is a perfect power (a square), and thus also a powerful number.

190632972860100 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 3 + 2 + 9 + 7 + 28 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24730947812484 + 165902025047616 = 4973022^2 + 12880296^2 .

It is a super-3 number, since 3×190632972860100³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3727861732 + ... + 3727912868.

Almost surely, 2^{190632972860100} is an apocalyptic number.

190632972860100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190632972860100 is the 13806990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190632972860100

190632972860100 is an abundant number, since it is smaller than the sum of its proper divisors (429605756046067).

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

190632972860100 is an frugal number, since it uses more digits than its factorization.

190632972860100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102306 (or 51147 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 190632972860100 in words is "one hundred ninety trillion, six hundred thirty-two billion, nine hundred seventy-two million, eight hundred sixty thousand, one hundred".