105153456 has 40 divisors (see below), whose sum is σ = 272286144. Its totient is φ = 34968640.

The previous prime is 105153443. The next prime is 105153469. The reversal of 105153456 is 654351501.

It is an interprime number because it is at equal distance from previous prime (105153443) and next prime (105153469).

It is a super-2 number, since 2×105153456² = 22114498617487872, which contains 22 as substring.

It is a nialpdrome in base 14.

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, 20071 + ... + 24761.

Almost surely, 2^105153456 is an apocalyptic number.

105153456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105153456 is an abundant number, since it is smaller than the sum of its proper divisors (167132688).

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

105153456 is a wasteful number, since it uses less digits than its factorization.

105153456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105153456 is about 10254.4359181771. The cubic root of 105153456 is about 471.9991142375. Note that the first 3 decimals are identical.

The spelling of 105153456 in words is "one hundred five million, one hundred fifty-three thousand, four hundred fifty-six".