105426048 has 192 divisors, whose sum is σ = 351630720. Its totient is φ = 27740160.

The previous prime is 105426037. The next prime is 105426059. The reversal of 105426048 is 840624501.

It is an interprime number because it is at equal distance from previous prime (105426037) and next prime (105426059).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105426048² = 22229303193796608, which contains 22 as substring.

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, 244393 + ... + 244823.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^105426048 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 105426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

105426048 is an abundant number, since it is smaller than the sum of its proper divisors (246204672).

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

105426048 is a wasteful number, since it uses less digits than its factorization.

105426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105426048 is about 10267.7187339740. The cubic root of 105426048 is about 472.4066207787.

The spelling of 105426048 in words is "one hundred five million, four hundred twenty-six thousand, forty-eight".