105035352 has 32 divisors (see below), whose sum is σ = 262866480. Its totient is φ = 34974720.

The previous prime is 105035327. The next prime is 105035377. The reversal of 105035352 is 253530501.

It is an interprime number because it is at equal distance from previous prime (105035327) and next prime (105035377).

It is a super-2 number, since 2×105035352² = 22064850339527808, 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 7 ways as a sum of consecutive naturals, for example, 30048 + ... + 33360.

Almost surely, 2^105035352 is an apocalyptic number.

105035352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105035352 is an abundant number, since it is smaller than the sum of its proper divisors (157831128).

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

105035352 is a wasteful number, since it uses less digits than its factorization.

105035352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 105035352 is about 10248.6756217572. The cubic root of 105035352 is about 471.8223380963.

Adding to 105035352 its reverse (253530501), we get a palindrome (358565853).

The spelling of 105035352 in words is "one hundred five million, thirty-five thousand, three hundred fifty-two".