105052032 has 128 divisors (see below), whose sum is σ = 313956000. Its totient is φ = 34578432.

The previous prime is 105051983. The next prime is 105052043. The reversal of 105052032 is 230250501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105052032² = 22071858854658048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105051996 and 105052014.

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, 390394 + ... + 390662.

Almost surely, 2^105052032 is an apocalyptic number.

105052032 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 105052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156978000).

105052032 is an abundant number, since it is smaller than the sum of its proper divisors (208903968).

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

105052032 is a wasteful number, since it uses less digits than its factorization.

105052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105052032 is about 10249.4893531336. The cubic root of 105052032 is about 471.8473124816.

The spelling of 105052032 in words is "one hundred five million, fifty-two thousand, thirty-two".