105676604352 has 336 divisors, whose sum is σ = 334593773280. Its totient is φ = 31623782400.

The previous prime is 105676604321. The next prime is 105676604443. The reversal of 105676604352 is 253406676501.

105676604352 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 6 + 604 + 35 + 2 = 666.

It is a super-2 number, since 2×105676604352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105676604298 and 105676604307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251013102 + ... + 251013522.

Almost surely, 2^105676604352 is an apocalyptic number.

105676604352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105676604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167296886640).

105676604352 is an abundant number, since it is smaller than the sum of its proper divisors (228917168928).

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

105676604352 is a wasteful number, since it uses less digits than its factorization.

105676604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 105676604352 in words is "one hundred five billion, six hundred seventy-six million, six hundred four thousand, three hundred fifty-two".