526400105 has 32 divisors (see below), whose sum is σ = 788928768. Its totient is φ = 327571200.

The previous prime is 526400101. The next prime is 526400113. The reversal of 526400105 is 501004625.

It is not a de Polignac number, because 526400105 - 2² = 526400101 is a prime.

It is a super-2 number, since 2×526400105² = 554194141088022050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526400101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361559 + ... + 363011.

It is an arithmetic number, because the mean of its divisors is an integer number (24654024).

Almost surely, 2^526400105 is an apocalyptic number.

526400105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

526400105 is a deficient number, since it is larger than the sum of its proper divisors (262528663).

526400105 is a wasteful number, since it uses less digits than its factorization.

526400105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 526400105 is about 22943.4109277588. The cubic root of 526400105 is about 807.4308196348.

The spelling of 526400105 in words is "five hundred twenty-six million, four hundred thousand, one hundred five".