105698920 has 16 divisors (see below), whose sum is σ = 237822660. Its totient is φ = 42279552.

The previous prime is 105698903. The next prime is 105698921. The reversal of 105698920 is 29896501.

It can be written as a sum of positive squares in 2 ways, for example, as 104571076 + 1127844 = 10226^2 + 1062^2 .

It is a super-2 number, since 2×105698920² = 22344523378332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2642473 = 105698920 / (1 + 0 + 5 + 6 + 9 + 8 + 9 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (105698921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1321197 + ... + 1321276.

Almost surely, 2^105698920 is an apocalyptic number.

105698920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105698920 is an abundant number, since it is smaller than the sum of its proper divisors (132123740).

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

105698920 is a wasteful number, since it uses less digits than its factorization.

105698920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642484 (or 2642480 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 105698920 is about 10280.9980060303. The cubic root of 105698920 is about 472.8138429854.

The spelling of 105698920 in words is "one hundred five million, six hundred ninety-eight thousand, nine hundred twenty".