10105040 has 40 divisors (see below), whose sum is σ = 25632288. Its totient is φ = 3674240.

The previous prime is 10105037. The next prime is 10105057. The reversal of 10105040 is 4050101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10105040² = 204223666803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

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, 4862 + ... + 6621.

Almost surely, 2^10105040 is an apocalyptic number.

10105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105040 is an abundant number, since it is smaller than the sum of its proper divisors (15527248).

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

10105040 is a wasteful number, since it uses less digits than its factorization.

10105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10105040 is about 3178.8425566549. The cubic root of 10105040 is about 216.1951825147.

Adding to 10105040 its reverse (4050101), we get a palindrome (14155141).

The spelling of 10105040 in words is "ten million, one hundred five thousand, forty".