61135100 has 144 divisors (see below), whose sum is σ = 155156736. Its totient is φ = 20736000.

The previous prime is 61135099. The next prime is 61135159. The reversal of 61135100 is 153116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491080 + ... + 1491120.

Almost surely, 2^61135100 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 61135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77578368).

61135100 is an abundant number, since it is smaller than the sum of its proper divisors (94021636).

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

61135100 is a wasteful number, since it uses less digits than its factorization.

61135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 61135100 is about 7818.8937836500. The cubic root of 61135100 is about 393.9401164711.

Adding to 61135100 its reverse (153116), we get a palindrome (61288216).

The spelling of 61135100 in words is "sixty-one million, one hundred thirty-five thousand, one hundred".