105251220 has 72 divisors (see below), whose sum is σ = 333156096. Its totient is φ = 26845632.

The previous prime is 105251177. The next prime is 105251227. The reversal of 105251220 is 22152501.

It is a super-2 number, since 2×105251220² = 22155638622976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105251193 and 105251202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105251227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8572 + ... + 16851.

It is an arithmetic number, because the mean of its divisors is an integer number (4627168).

Almost surely, 2^105251220 is an apocalyptic number.

105251220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105251220 is an abundant number, since it is smaller than the sum of its proper divisors (227904876).

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

105251220 is a wasteful number, since it uses less digits than its factorization.

105251220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25461 (or 25456 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105251220 is about 10259.2017233311. The cubic root of 105251220 is about 472.1453456912.

The spelling of 105251220 in words is "one hundred five million, two hundred fifty-one thousand, two hundred twenty".