105937890 has 32 divisors (see below), whose sum is σ = 256775616. Its totient is φ = 27969600.

The previous prime is 105937879. The next prime is 105937927. The reversal of 105937890 is 98739501.

It is a happy number.

It is a super-2 number, since 2×105937890² = 22445673075304200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14452 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (8024238).

Almost surely, 2^105937890 is an apocalyptic number.

105937890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105937890 is an abundant number, since it is smaller than the sum of its proper divisors (150837726).

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

105937890 is a wasteful number, since it uses less digits than its factorization.

105937890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35074.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 105937890 is about 10292.6133707625. The cubic root of 105937890 is about 473.1698960739.

The spelling of 105937890 in words is "one hundred five million, nine hundred thirty-seven thousand, eight hundred ninety".