10422368100 has 243 divisors, whose sum is σ = 33892845259. Its totient is φ = 2678841600.

The previous prime is 10422368093. The next prime is 10422368101. The reversal of 10422368100 is 186322401.

The square root of 10422368100 is 102090.

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 4386942756 + 6035425344 = 66234^2 + 77688^2 .

It is a super-2 number, since 2×10422368100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10422368101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125570659 + ... + 125570741.

Almost surely, 2^10422368100 is an apocalyptic number.

10422368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10422368100 is the 102090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422368100

10422368100 is an abundant number, since it is smaller than the sum of its proper divisors (23470477159).

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

10422368100 is a wasteful number, since it uses less digits than its factorization.

10422368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 10422368100 by its product of nonzero digits (2304), we get a square (24013136102400 = 4900320²).

The spelling of 10422368100 in words is "ten billion, four hundred twenty-two million, three hundred sixty-eight thousand, one hundred".