105947172 has 18 divisors (see below), whose sum is σ = 267810998. Its totient is φ = 35315712.

The previous prime is 105947161. The next prime is 105947201. The reversal of 105947172 is 271749501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56160036 + 49787136 = 7494^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105947172² = 22449606509595168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2942977 = 105947172 / (1 + 0 + 5 + 9 + 4 + 7 + 1 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1471453 + ... + 1471524.

Almost surely, 2^105947172 is an apocalyptic number.

105947172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105947172 is an abundant number, since it is smaller than the sum of its proper divisors (161863826).

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

105947172 is a wasteful number, since it uses less digits than its factorization.

105947172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942987 (or 2942982 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 105947172 is about 10293.0642667769. The cubic root of 105947172 is about 473.1837149719.

It can be divided in two parts, 10594 and 7172, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 105947172 in words is "one hundred five million, nine hundred forty-seven thousand, one hundred seventy-two".