61412100 has 36 divisors (see below), whose sum is σ = 177686544. Its totient is φ = 16376480.

The previous prime is 61412083. The next prime is 61412101. The reversal of 61412100 is 121416.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61412100.

It is not an unprimeable number, because it can be changed into a prime (61412101) 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, 102054 + ... + 102653.

Almost surely, 2^61412100 is an apocalyptic number.

61412100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61412100 is an abundant number, since it is smaller than the sum of its proper divisors (116274444).

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

61412100 is a wasteful number, since it uses less digits than its factorization.

61412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204724 (or 204717 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 61412100 is about 7836.5872674271. The cubic root of 61412100 is about 394.5341942760.

Adding to 61412100 its reverse (121416), we get a palindrome (61533516).

The spelling of 61412100 in words is "sixty-one million, four hundred twelve thousand, one hundred".