105454332 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 31332096.

The previous prime is 105454309. The next prime is 105454369. The reversal of 105454332 is 233454501.

It is a super-2 number, since 2×105454332² = 22241232275132448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105454296 and 105454305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33373 + ... + 36395.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^105454332 is an apocalyptic number.

105454332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105454332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

105454332 is an abundant number, since it is smaller than the sum of its proper divisors (199364868).

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

105454332 is a wasteful number, since it uses less digits than its factorization.

105454332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 105454332 is about 10269.0959680003. The cubic root of 105454332 is about 472.4488631985.

The spelling of 105454332 in words is "one hundred five million, four hundred fifty-four thousand, three hundred thirty-two".