105414520 has 64 divisors (see below), whose sum is σ = 249480000. Its totient is φ = 40009728.

The previous prime is 105414499. The next prime is 105414557. The reversal of 105414520 is 25414501.

It is a super-2 number, since 2×105414520² = 22224442053660800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105414491 and 105414500.

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, 136696 + ... + 137464.

It is an arithmetic number, because the mean of its divisors is an integer number (3898125).

Almost surely, 2^105414520 is an apocalyptic number.

105414520 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 105414520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740000).

105414520 is an abundant number, since it is smaller than the sum of its proper divisors (144065480).

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

105414520 is a wasteful number, since it uses less digits than its factorization.

105414520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 105414520 is about 10267.1573475817. The cubic root of 105414520 is about 472.3894014351.

The spelling of 105414520 in words is "one hundred five million, four hundred fourteen thousand, five hundred twenty".