105398688 has 24 divisors (see below), whose sum is σ = 276671808. Its totient is φ = 35132864.

The previous prime is 105398639. The next prime is 105398701. The reversal of 105398688 is 886893501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105398688² = 22217766864242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548856 + ... + 549047.

It is an arithmetic number, because the mean of its divisors is an integer number (11527992).

Almost surely, 2^105398688 is an apocalyptic number.

It is an amenable number.

105398688 is an abundant number, since it is smaller than the sum of its proper divisors (171273120).

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

105398688 is a wasteful number, since it uses less digits than its factorization.

105398688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097916 (or 1097908 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 105398688 is about 10266.3863165186. The cubic root of 105398688 is about 472.3657511718.

The spelling of 105398688 in words is "one hundred five million, three hundred ninety-eight thousand, six hundred eighty-eight".