61000104 has 64 divisors (see below), whose sum is σ = 167256000. Its totient is φ = 18385920.

The previous prime is 61000091. The next prime is 61000111. The reversal of 61000104 is 40100016.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61000104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59952 + ... + 60960.

It is an arithmetic number, because the mean of its divisors is an integer number (2613375).

Almost surely, 2^61000104 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 61000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83628000).

61000104 is an abundant number, since it is smaller than the sum of its proper divisors (106255896).

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

61000104 is a wasteful number, since it uses less digits than its factorization.

61000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61000104 is about 7810.2563338216. The cubic root of 61000104 is about 393.6499420236.

The spelling of 61000104 in words is "sixty-one million, one hundred four", and thus it is an aban number.