610105104 has 120 divisors (see below), whose sum is σ = 1957741760. Its totient is φ = 173746944.

The previous prime is 610105049. The next prime is 610105109. The reversal of 610105104 is 401501016.

610105104 is a `hidden beast` number, since 610 + 1 + 0 + 51 + 0 + 4 = 666.

It is a super-4 number, since 4×610105104⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (610105109) 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, 381234 + ... + 382830.

Almost surely, 2^610105104 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 610105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978870880).

610105104 is an abundant number, since it is smaller than the sum of its proper divisors (1347636656).

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

610105104 is a wasteful number, since it uses less digits than its factorization.

610105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 610105104 is about 24700.3057470955. The cubic root of 610105104 is about 848.1413153005.

The spelling of 610105104 in words is "six hundred ten million, one hundred five thousand, one hundred four".