61135104 has 72 divisors (see below), whose sum is σ = 169831872. Its totient is φ = 19486720.

The previous prime is 61135099. The next prime is 61135159. The reversal of 61135104 is 40153116.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15934 + ... + 19394.

It is an arithmetic number, because the mean of its divisors is an integer number (2358776).

Almost surely, 2^61135104 is an apocalyptic number.

61135104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84915936).

61135104 is an abundant number, since it is smaller than the sum of its proper divisors (108696768).

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

61135104 is a wasteful number, since it uses less digits than its factorization.

61135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61135104 is about 7818.8940394406. The cubic root of 61135104 is about 393.9401250628.

The spelling of 61135104 in words is "sixty-one million, one hundred thirty-five thousand, one hundred four".