105738820 has 48 divisors (see below), whose sum is σ = 252782208. Its totient is φ = 36776960.

The previous prime is 105738779. The next prime is 105738833. The reversal of 105738820 is 28837501.

It is a super-3 number, since 3×105738820³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 5389 + ... + 15508.

It is an arithmetic number, because the mean of its divisors is an integer number (5266296).

Almost surely, 2^105738820 is an apocalyptic number.

105738820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105738820 is an abundant number, since it is smaller than the sum of its proper divisors (147043388).

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

105738820 is a wasteful number, since it uses less digits than its factorization.

105738820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20940 (or 20938 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 105738820 is about 10282.9382960319. The cubic root of 105738820 is about 472.8733292413.

The spelling of 105738820 in words is "one hundred five million, seven hundred thirty-eight thousand, eight hundred twenty".