105743780 has 24 divisors (see below), whose sum is σ = 228065208. Its totient is φ = 41154048.

The previous prime is 105743777. The next prime is 105743783. The reversal of 105743780 is 87347501.

It is an interprime number because it is at equal distance from previous prime (105743777) and next prime (105743783).

It can be written as a sum of positive squares in 4 ways, for example, as 58491904 + 47251876 = 7648^2 + 6874^2 .

It is a super-2 number, since 2×105743780² = 22363494017376800, 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 105743780.

It is not an unprimeable number, because it can be changed into a prime (105743783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70709 + ... + 72188.

It is an arithmetic number, because the mean of its divisors is an integer number (9502717).

Almost surely, 2^105743780 is an apocalyptic number.

105743780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105743780 is an abundant number, since it is smaller than the sum of its proper divisors (122321428).

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

105743780 is a wasteful number, since it uses less digits than its factorization.

105743780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142943 (or 142941 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 105743780 is about 10283.1794694054. The cubic root of 105743780 is about 472.8807229782.

The spelling of 105743780 in words is "one hundred five million, seven hundred forty-three thousand, seven hundred eighty".