105091896 has 64 divisors (see below), whose sum is σ = 323366400. Its totient is φ = 27715968.

The previous prime is 105091873. The next prime is 105091901. The reversal of 105091896 is 698190501.

It is a super-3 number, since 3×105091896³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 21876 + ... + 26243.

It is an arithmetic number, because the mean of its divisors is an integer number (5052600).

Almost surely, 2^105091896 is an apocalyptic number.

It is an amenable number.

105091896 is an abundant number, since it is smaller than the sum of its proper divisors (218274504).

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

105091896 is a wasteful number, since it uses less digits than its factorization.

105091896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48148 (or 48144 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 105091896 is about 10251.4338509303. The cubic root of 105091896 is about 471.9069887587.

The spelling of 105091896 in words is "one hundred five million, ninety-one thousand, eight hundred ninety-six".