105540864 has 216 divisors, whose sum is σ = 340988256. Its totient is φ = 28569600.

The previous prime is 105540857. The next prime is 105540871. The reversal of 105540864 is 468045501.

It is an interprime number because it is at equal distance from previous prime (105540857) and next prime (105540871).

It is a super-2 number, since 2×105540864² = 22277747947732992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3404529 + ... + 3404559.

Almost surely, 2^105540864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170494128).

105540864 is an abundant number, since it is smaller than the sum of its proper divisors (235447392).

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

105540864 is a wasteful number, since it uses less digits than its factorization.

105540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 105540864 is about 10273.3083278952. The cubic root of 105540864 is about 472.5780526694.

The spelling of 105540864 in words is "one hundred five million, five hundred forty thousand, eight hundred sixty-four".