104949864 has 64 divisors (see below), whose sum is σ = 293832000. Its totient is φ = 34706880.

The previous prime is 104949853. The next prime is 104949883. The reversal of 104949864 is 468949401.

104949864 is a `hidden beast` number, since 10 + 494 + 98 + 64 = 666.

It is a super-2 number, since 2×104949864² = 22028947907236992, which contains 22 as substring.

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, 26442 + ... + 30150.

It is an arithmetic number, because the mean of its divisors is an integer number (4591125).

Almost surely, 2^104949864 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 104949864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146916000).

104949864 is an abundant number, since it is smaller than the sum of its proper divisors (188882136).

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

104949864 is a wasteful number, since it uses less digits than its factorization.

104949864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 104949864 is about 10244.5040875584. The cubic root of 104949864 is about 471.6942983614.

The spelling of 104949864 in words is "one hundred four million, nine hundred forty-nine thousand, eight hundred sixty-four".