61112100 has 72 divisors (see below), whose sum is σ = 202084288. Its totient is φ = 13968000.

The previous prime is 61112089. The next prime is 61112101. The reversal of 61112100 is 121116.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12451 + ... + 16650.

Almost surely, 2^61112100 is an apocalyptic number.

61112100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61112100 is an abundant number, since it is smaller than the sum of its proper divisors (140972188).

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

61112100 is a wasteful number, since it uses less digits than its factorization.

61112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29125 (or 29118 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 61112100 is about 7817.4228489957. The cubic root of 61112100 is about 393.8907080889.

Adding to 61112100 its reverse (121116), we get a palindrome (61233216).

The spelling of 61112100 in words is "sixty-one million, one hundred twelve thousand, one hundred".