7938249900100 has 81 divisors (see below), whose sum is σ = 18653869085733. Its totient is φ = 2930910877440.

The previous prime is 7938249899981. The next prime is 7938249900101. The reversal of 7938249900100 is 10099428397.

It is a happy number.

The square root of 7938249900100 is 2817490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2840552935236 + 5097696964864 = 1685394^2 + 2257808^2 .

It is a super-2 number, since 2×7938249900100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7938249900101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 366262864 + ... + 366284536.

Almost surely, 2^{7938249900100} is an apocalyptic number.

7938249900100 is the 2817490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7938249900100

7938249900100 is an abundant number, since it is smaller than the sum of its proper divisors (10715619185633).

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

7938249900100 is an equidigital number, since it uses as much as digits as its factorization.

7938249900100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43386 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 7938249900100 in words is "seven trillion, nine hundred thirty-eight billion, two hundred forty-nine million, nine hundred thousand, one hundred".