105941790 has 64 divisors (see below), whose sum is σ = 299142720. Its totient is φ = 26588160.

The previous prime is 105941789. The next prime is 105941791. The reversal of 105941790 is 97149501.

It is an interprime number because it is at equal distance from previous prime (105941789) and next prime (105941791).

It is a super-2 number, since 2×105941790² = 22447325736808200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105941791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6951 + ... + 16130.

It is an arithmetic number, because the mean of its divisors is an integer number (4674105).

Almost surely, 2^105941790 is an apocalyptic number.

105941790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105941790 is an abundant number, since it is smaller than the sum of its proper divisors (193200930).

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

105941790 is a wasteful number, since it uses less digits than its factorization.

105941790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23114 (or 23108 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105941790 is about 10292.8028252755. The cubic root of 105941790 is about 473.1757024319.

It can be divided in two parts, 1059 and 41790, that added together give a square (42849 = 207²).

The spelling of 105941790 in words is "one hundred five million, nine hundred forty-one thousand, seven hundred ninety".