105954432 has 32 divisors (see below), whose sum is σ = 281442480. Its totient is φ = 35318016.

The previous prime is 105954427. The next prime is 105954437. The reversal of 105954432 is 234459501.

It is an interprime number because it is at equal distance from previous prime (105954427) and next prime (105954437).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105954432² = 22452683320885248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 = 105954393 and 105954402.

It is not an unprimeable number, because it can be changed into a prime (105954437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137578 + ... + 138345.

Almost surely, 2^105954432 is an apocalyptic number.

105954432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105954432 is an abundant number, since it is smaller than the sum of its proper divisors (175488048).

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

105954432 is an equidigital number, since it uses as much as digits as its factorization.

105954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275940 (or 275928 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105954432 is about 10293.4169253946. The cubic root of 105954432 is about 473.1945229851.

The spelling of 105954432 in words is "one hundred five million, nine hundred fifty-four thousand, four hundred thirty-two".