152352105 has 32 divisors (see below), whose sum is σ = 251209728. Its totient is φ = 78796800.

The previous prime is 152352103. The next prime is 152352107. The reversal of 152352105 is 501253251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152352103) and next prime (152352107).

It is not a de Polignac number, because 152352105 - 2¹ = 152352103 is a prime.

It is a super-2 number, since 2×152352105² = 46422327795862050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152352103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116817 + ... + 118113.

It is an arithmetic number, because the mean of its divisors is an integer number (7850304).

Almost surely, 2^152352105 is an apocalyptic number.

152352105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152352105 is a deficient number, since it is larger than the sum of its proper divisors (98857623).

152352105 is a wasteful number, since it uses less digits than its factorization.

152352105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 152352105 is about 12343.0994891883. The cubic root of 152352105 is about 534.0920986066.

It can be divided in two parts, 1523 and 52105, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 152352105 in words is "one hundred fifty-two million, three hundred fifty-two thousand, one hundred five".