8107629812100 has 1215 divisors, whose sum is σ = 32319470967693. Its totient is φ = 1699140119040.

The previous prime is 8107629812083. The next prime is 8107629812179. The reversal of 8107629812100 is 12189267018.

The square root of 8107629812100 is 2847390.

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

8107629812100 is a `hidden beast` number, since 8 + 1 + 0 + 7 + 629 + 8 + 1 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7838667256644 + 268962555456 = 2799762^2 + 518616^2 .

It is a super-2 number, since 2×8107629812100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 54413622826 + ... + 54413622974.

Almost surely, 2^{8107629812100} is an apocalyptic number.

8107629812100 is the 2847390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8107629812100

8107629812100 is an abundant number, since it is smaller than the sum of its proper divisors (24211841155593).

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

8107629812100 is a wasteful number, since it uses less digits than its factorization.

8107629812100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 8107629812100 in words is "eight trillion, one hundred seven billion, six hundred twenty-nine million, eight hundred twelve thousand, one hundred".