104577642 has 160 divisors (see below), whose sum is σ = 281014272. Its totient is φ = 28740096.

The previous prime is 104577631. The next prime is 104577643. The reversal of 104577642 is 246775401.

104577642 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104577597 and 104577606.

It is not an unprimeable number, because it can be changed into a prime (104577643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 823383 + ... + 823509.

Almost surely, 2^104577642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104577642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140507136).

104577642 is an abundant number, since it is smaller than the sum of its proper divisors (176436630).

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

104577642 is a wasteful number, since it uses less digits than its factorization.

104577642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 104577642 is about 10226.3210393572. The cubic root of 104577642 is about 471.1359905912.

It can be divided in two parts, 1045 and 77642, that added together give a palindrome (78687).

The spelling of 104577642 in words is "one hundred four million, five hundred seventy-seven thousand, six hundred forty-two".