90105957 has 12 divisors (see below), whose sum is σ = 130235820. Its totient is φ = 60032448.

The previous prime is 90105949. The next prime is 90105971. The reversal of 90105957 is 75950109.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5447556 + 84658401 = 2334^2 + 9201^2 .

It is not a de Polignac number, because 90105957 - 2³ = 90105949 is a prime.

It is a super-3 number, since 3×90105957³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23769 + ... + 27297.

It is an arithmetic number, because the mean of its divisors is an integer number (10852985).

Almost surely, 2^90105957 is an apocalyptic number.

It is an amenable number.

90105957 is a deficient number, since it is larger than the sum of its proper divisors (40129863).

90105957 is a wasteful number, since it uses less digits than its factorization.

90105957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 90105957 is about 9492.4157620703. The cubic root of 90105957 is about 448.3162709457.

The spelling of 90105957 in words is "ninety million, one hundred five thousand, nine hundred fifty-seven".