10106293760 has 40 divisors (see below), whose sum is σ = 24231424536. Its totient is φ = 4042516480.

The previous prime is 10106293727. The next prime is 10106293783. The reversal of 10106293760 is 6739260101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10106293760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1971326 + ... + 1976445.

Almost surely, 2^10106293760 is an apocalyptic number.

10106293760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106293760 is an abundant number, since it is smaller than the sum of its proper divisors (14125130776).

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

10106293760 is an frugal number, since it uses more digits than its factorization.

10106293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947794 (or 3947778 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 10106293760 in words is "ten billion, one hundred six million, two hundred ninety-three thousand, seven hundred sixty".