105120624 has 80 divisors (see below), whose sum is σ = 316265472. Its totient is φ = 29462784.

The previous prime is 105120601. The next prime is 105120641. The reversal of 105120624 is 426021501.

It is a super-2 number, since 2×105120624² = 22100691180298752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105120624.

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, 14857 + ... + 20759.

Almost surely, 2^105120624 is an apocalyptic number.

105120624 is a gapful number since it is divisible by the number (14) 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 105120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158132736).

105120624 is an abundant number, since it is smaller than the sum of its proper divisors (211144848).

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

105120624 is a wasteful number, since it uses less digits than its factorization.

105120624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105120624 is about 10252.8349250341. The cubic root of 105120624 is about 471.9499851246.

The spelling of 105120624 in words is "one hundred five million, one hundred twenty thousand, six hundred twenty-four".