61646312100 has 72 divisors (see below), whose sum is σ = 184513815360. Its totient is φ = 15872151680.

The previous prime is 61646312093. The next prime is 61646312111. The reversal of 61646312100 is 121364616.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534192 + ... + 3551591.

It is an arithmetic number, because the mean of its divisors is an integer number (2562691880).

Almost surely, 2^61646312100 is an apocalyptic number.

61646312100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61646312100 is an abundant number, since it is smaller than the sum of its proper divisors (122867503260).

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

61646312100 is a wasteful number, since it uses less digits than its factorization.

61646312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085829 (or 7085822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 61646312100 its reverse (121364616), we get a palindrome (61767676716).

The spelling of 61646312100 in words is "sixty-one billion, six hundred forty-six million, three hundred twelve thousand, one hundred".