10361204100 has 567 divisors, whose sum is σ = 37804991133. Its totient is φ = 2462503680.

The previous prime is 10361204093. The next prime is 10361204107. The reversal of 10361204100 is 140216301.

It is a happy number.

The square root of 10361204100 is 101790.

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

10361204100 is a `hidden beast` number, since 1 + 0 + 361 + 204 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (10361204093) and next prime (10361204107).

It can be written as a sum of positive squares in 13 ways, for example, as 9584801604 + 776402496 = 97902^2 + 27864^2 .

It is a super-3 number, since 3×10361204100³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10361204107) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 357282886 + ... + 357282914.

Almost surely, 2^10361204100 is an apocalyptic number.

10361204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10361204100 is the 101790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10361204100

10361204100 is an abundant number, since it is smaller than the sum of its proper divisors (27443787033).

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

10361204100 is a wasteful number, since it uses less digits than its factorization.

10361204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 10361204100 by its product of nonzero digits (144), we get a square (1492013390400 = 1221480²).

The spelling of 10361204100 in words is "ten billion, three hundred sixty-one million, two hundred four thousand, one hundred".