105372050 has 72 divisors (see below), whose sum is σ = 233774100. Its totient is φ = 35212800.

The previous prime is 105372049. The next prime is 105372083. The reversal of 105372050 is 50273501.

It can be written as a sum of positive squares in 6 ways, for example, as 33512521 + 71859529 = 5789^2 + 8477^2 .

It is a super-2 number, since 2×105372050² = 22206537842405000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99926 + ... + 100974.

Almost surely, 2^105372050 is an apocalyptic number.

105372050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105372050 is an abundant number, since it is smaller than the sum of its proper divisors (128402050).

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

105372050 is a wasteful number, since it uses less digits than its factorization.

105372050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 105372050 is about 10265.0888939161. The cubic root of 105372050 is about 472.3259532727.

The spelling of 105372050 in words is "one hundred five million, three hundred seventy-two thousand, fifty".