105152880 has 80 divisors (see below), whose sum is σ = 372547584. Its totient is φ = 24034560.

The previous prime is 105152867. The next prime is 105152891. The reversal of 105152880 is 88251501.

105152880 = 455² + 456² + ... + 742².

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105152880² = 22114256344588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 29616 + ... + 32975.

Almost surely, 2^105152880 is an apocalyptic number.

105152880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105152880 is an abundant number, since it is smaller than the sum of its proper divisors (267394704).

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

105152880 is a wasteful number, since it uses less digits than its factorization.

105152880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62614 (or 62608 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 105152880 is about 10254.4078327322. The cubic root of 105152880 is about 471.9982524114.

The spelling of 105152880 in words is "one hundred five million, one hundred fifty-two thousand, eight hundred eighty".