105497772 has 24 divisors (see below), whose sum is σ = 250807536. Its totient is φ = 34502208.

The previous prime is 105497771. The next prime is 105497773. The reversal of 105497772 is 277794501.

It is an interprime number because it is at equal distance from previous prime (105497771) and next prime (105497773).

It is a super-2 number, since 2×105497772² = 22259559793927968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105497771) 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, 82303 + ... + 83574.

It is an arithmetic number, because the mean of its divisors is an integer number (10450314).

Almost surely, 2^105497772 is an apocalyptic number.

105497772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105497772 is an abundant number, since it is smaller than the sum of its proper divisors (145309764).

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

105497772 is a wasteful number, since it uses less digits than its factorization.

105497772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165937 (or 165935 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 105497772 is about 10271.2108341714. The cubic root of 105497772 is about 472.5137265406.

The spelling of 105497772 in words is "one hundred five million, four hundred ninety-seven thousand, seven hundred seventy-two".