105153840 has 360 divisors, whose sum is σ = 416785824. Its totient is φ = 23654400.

The previous prime is 105153817. The next prime is 105153869. The reversal of 105153840 is 48351501.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105153840² = 22114660133491200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1481005 + ... + 1481075.

Almost surely, 2^105153840 is an apocalyptic number.

105153840 is a gapful number since it is divisible by the number (10) 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 105153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

105153840 is an abundant number, since it is smaller than the sum of its proper divisors (311631984).

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

105153840 is a wasteful number, since it uses less digits than its factorization.

105153840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105153840 is about 10254.4546417642. The cubic root of 105153840 is about 471.9996887865. Note that the first 3 decimals are identical.

The spelling of 105153840 in words is "one hundred five million, one hundred fifty-three thousand, eight hundred forty".