105391392 has 48 divisors (see below), whose sum is σ = 284139072. Its totient is φ = 34179840.

The previous prime is 105391367. The next prime is 105391411. The reversal of 105391392 is 293193501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105391392² = 22214691015395328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11284 + ... + 18387.

It is an arithmetic number, because the mean of its divisors is an integer number (5919564).

Almost surely, 2^105391392 is an apocalyptic number.

105391392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105391392 is an abundant number, since it is smaller than the sum of its proper divisors (178747680).

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

105391392 is a wasteful number, since it uses less digits than its factorization.

105391392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29721 (or 29713 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 105391392 is about 10266.0309759907. The cubic root of 105391392 is about 472.3548514155.

The spelling of 105391392 in words is "one hundred five million, three hundred ninety-one thousand, three hundred ninety-two".