105373650 has 144 divisors (see below), whose sum is σ = 292561632. Its totient is φ = 24998400.

The previous prime is 105373613. The next prime is 105373673. The reversal of 105373650 is 56373501.

It is a super-2 number, since 2×105373650² = 22207212228645000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2450529 + ... + 2450571.

It is an arithmetic number, because the mean of its divisors is an integer number (2031678).

Almost surely, 2^105373650 is an apocalyptic number.

105373650 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 105373650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146280816).

105373650 is an abundant number, since it is smaller than the sum of its proper divisors (187187982).

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

105373650 is a wasteful number, since it uses less digits than its factorization.

105373650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 105373650 is about 10265.1668276750. The cubic root of 105373650 is about 472.3283439057.

The spelling of 105373650 in words is "one hundred five million, three hundred seventy-three thousand, six hundred fifty".