105380352 has 360 divisors, whose sum is σ = 396203808. Its totient is φ = 27371520.

The previous prime is 105380311. The next prime is 105380357. The reversal of 105380352 is 253083501.

It is a super-2 number, since 2×105380352² = 22210037175287808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105380357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9580027 + ... + 9580037.

Almost surely, 2^105380352 is an apocalyptic number.

105380352 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 105380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198101904).

105380352 is an abundant number, since it is smaller than the sum of its proper divisors (290823456).

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

105380352 is an frugal number, since it uses more digits than its factorization.

105380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105380352 is about 10265.4932662781. The cubic root of 105380352 is about 472.3383574067.

The spelling of 105380352 in words is "one hundred five million, three hundred eighty thousand, three hundred fifty-two".