10105263660 has 96 divisors (see below), whose sum is σ = 28887651072. Its totient is φ = 2638667520.

The previous prime is 10105263659. The next prime is 10105263689. The reversal of 10105263660 is 6636250101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824739 + ... + 836901.

It is an arithmetic number, because the mean of its divisors is an integer number (300913032).

Almost surely, 2^10105263660 is an apocalyptic number.

10105263660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105263660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443825536).

10105263660 is an abundant number, since it is smaller than the sum of its proper divisors (18782387412).

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

10105263660 is a wasteful number, since it uses less digits than its factorization.

10105263660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10105263660 in words is "ten billion, one hundred five million, two hundred sixty-three thousand, six hundred sixty".