105671520 has 192 divisors, whose sum is σ = 376850880. Its totient is φ = 27648000.

The previous prime is 105671513. The next prime is 105671623. The reversal of 105671520 is 25176501.

It is a super-2 number, since 2×105671520² = 22332940278220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263320 + ... + 263720.

It is an arithmetic number, because the mean of its divisors is an integer number (1962765).

Almost surely, 2^105671520 is an apocalyptic number.

105671520 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 105671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188425440).

105671520 is an abundant number, since it is smaller than the sum of its proper divisors (271179360).

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

105671520 is a wasteful number, since it uses less digits than its factorization.

105671520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105671520 is about 10279.6653642033. The cubic root of 105671520 is about 472.7729841040.

The spelling of 105671520 in words is "one hundred five million, six hundred seventy-one thousand, five hundred twenty".