104877630 has 192 divisors, whose sum is σ = 332579520. Its totient is φ = 22579200.

The previous prime is 104877629. The next prime is 104877637. The reversal of 104877630 is 36778401.

104877630 is a `hidden beast` number, since 10 + 4 + 8 + 7 + 7 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104877637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373090 + ... + 373370.

It is an arithmetic number, because the mean of its divisors is an integer number (1732185).

Almost surely, 2^104877630 is an apocalyptic number.

104877630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104877630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).

104877630 is an abundant number, since it is smaller than the sum of its proper divisors (227701890).

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

104877630 is a wasteful number, since it uses less digits than its factorization.

104877630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 104877630 is about 10240.9779806423. The cubic root of 104877630 is about 471.5860556105.

The spelling of 104877630 in words is "one hundred four million, eight hundred seventy-seven thousand, six hundred thirty".