105378832 has 20 divisors (see below), whose sum is σ = 219877420. Its totient is φ = 48636288.

The previous prime is 105378817. The next prime is 105378851. The reversal of 105378832 is 238873501.

It can be written as a sum of positive squares in 2 ways, for example, as 58920976 + 46457856 = 7676^2 + 6816^2 .

It is a super-2 number, since 2×105378832² = 22209396467368448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105378791 and 105378800.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253107 + ... + 253522.

It is an arithmetic number, because the mean of its divisors is an integer number (10993871).

Almost surely, 2^105378832 is an apocalyptic number.

It is an amenable number.

105378832 is an abundant number, since it is smaller than the sum of its proper divisors (114498588).

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

105378832 is a wasteful number, since it uses less digits than its factorization.

105378832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506650 (or 506644 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 105378832 is about 10265.4192315755. The cubic root of 105378832 is about 472.3360864022.

The spelling of 105378832 in words is "one hundred five million, three hundred seventy-eight thousand, eight hundred thirty-two".