105153432 has 64 divisors (see below), whose sum is σ = 281322720. Its totient is φ = 32636928.

The previous prime is 105153427. The next prime is 105153443. The reversal of 105153432 is 234351501.

It is a super-2 number, since 2×105153432² = 22114488522757248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38248 + ... + 40904.

Almost surely, 2^105153432 is an apocalyptic number.

105153432 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 105153432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140661360).

105153432 is an abundant number, since it is smaller than the sum of its proper divisors (176169288).

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

105153432 is a wasteful number, since it uses less digits than its factorization.

105153432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105153432 is about 10254.4347479517. The cubic root of 105153432 is about 471.9990783282. Note that the first 3 decimals are identical.

The spelling of 105153432 in words is "one hundred five million, one hundred fifty-three thousand, four hundred thirty-two".