100749108100 has 27 divisors (see below), whose sum is σ = 218632452591. Its totient is φ = 40298373600.

The previous prime is 100749107983. The next prime is 100749108149. The reversal of 100749108100 is 1801947001.

The square root of 100749108100 is 317410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 559133316 + 100189974784 = 23646^2 + 316528^2 .

It is a super-2 number, since 2×100749108100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3158230 + ... + 3189970.

Almost surely, 2^100749108100 is an apocalyptic number.

100749108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100749108100 is the 317410-th square number.

It is an amenable number.

100749108100 is an abundant number, since it is smaller than the sum of its proper divisors (117883344491).

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

100749108100 is an frugal number, since it uses more digits than its factorization.

100749108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63496 (or 31748 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

It can be divided in two parts, 100749 and 108100, that added together give a square (208849 = 457²).

The spelling of 100749108100 in words is "one hundred billion, seven hundred forty-nine million, one hundred eight thousand, one hundred".