105172632 has 24 divisors (see below), whose sum is σ = 284842740. Its totient is φ = 35057520.

The previous prime is 105172631. The next prime is 105172649. The reversal of 105172632 is 236271501.

It is a happy number.

105172632 is a `hidden beast` number, since 10 + 5 + 17 + 2 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105172632² = 22122565043614848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105172596 and 105172605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105172631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 730294 + ... + 730437.

Almost surely, 2^105172632 is an apocalyptic number.

105172632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105172632 is an abundant number, since it is smaller than the sum of its proper divisors (179670108).

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

105172632 is a wasteful number, since it uses less digits than its factorization.

105172632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460743 (or 1460736 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105172632 is about 10255.3708855409. The cubic root of 105172632 is about 472.0278040693.

The spelling of 105172632 in words is "one hundred five million, one hundred seventy-two thousand, six hundred thirty-two".