105099940 has 24 divisors (see below), whose sum is σ = 240774912. Its totient is φ = 38218080.

The previous prime is 105099931. The next prime is 105099959. The reversal of 105099940 is 49990501.

It is a super-2 number, since 2×105099940² = 22091994776007200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105099940.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238644 + ... + 239083.

It is an arithmetic number, because the mean of its divisors is an integer number (10032288).

Almost surely, 2^105099940 is an apocalyptic number.

105099940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105099940 is an abundant number, since it is smaller than the sum of its proper divisors (135674972).

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

105099940 is a wasteful number, since it uses less digits than its factorization.

105099940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477747 (or 477745 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 105099940 is about 10251.8261787840. The cubic root of 105099940 is about 471.9190287704.

It can be divided in two parts, 10509 and 9940, that added together give a square (20449 = 143²).

The spelling of 105099940 in words is "one hundred five million, ninety-nine thousand, nine hundred forty".