61860100 has 36 divisors (see below), whose sum is σ = 136450468. Its totient is φ = 24336000.

The previous prime is 61860091. The next prime is 61860107. The reversal of 61860100 is 106816.

It can be written as a sum of positive squares in 6 ways, for example, as 20720704 + 41139396 = 4552^2 + 6414^2 .

It is not an unprimeable number, because it can be changed into a prime (61860107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030 + ... + 11170.

Almost surely, 2^61860100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61860100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68225234).

61860100 is an abundant number, since it is smaller than the sum of its proper divisors (74590368).

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

61860100 is a wasteful number, since it uses less digits than its factorization.

61860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 61860100 is about 7865.1191980796. The cubic root of 61860100 is about 395.4912437467.

Adding to 61860100 its reverse (106816), we get a palindrome (61966916).

The spelling of 61860100 in words is "sixty-one million, eight hundred sixty thousand, one hundred".