105471972 has 36 divisors (see below), whose sum is σ = 268322236. Its totient is φ = 34931520.

The previous prime is 105471953. The next prime is 105471979. The reversal of 105471972 is 279174501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 86601636 = 4344^2 + 9306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105471972² = 22248673755137568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105471979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3679 + ... + 14982.

Almost surely, 2^105471972 is an apocalyptic number.

105471972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105471972 is an abundant number, since it is smaller than the sum of its proper divisors (162850264).

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

105471972 is a wasteful number, since it uses less digits than its factorization.

105471972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828 (or 18823 counting only the distinct ones).

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

The square root of 105471972 is about 10269.9548197643. The cubic root of 105471972 is about 472.4752048801.

The spelling of 105471972 in words is "one hundred five million, four hundred seventy-one thousand, nine hundred seventy-two".