10105076896 has 36 divisors (see below), whose sum is σ = 21133485198. Its totient is φ = 4755325952.

The previous prime is 10105076857. The next prime is 10105076899. The reversal of 10105076896 is 69867050101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8534064400 + 1571012496 = 92380^2 + 39636^2 .

It is a super-2 number, since 2×10105076896² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105076899) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537091 + ... + 555586.

Almost surely, 2^10105076896 is an apocalyptic number.

10105076896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10105076896 is an abundant number, since it is smaller than the sum of its proper divisors (11028408302).

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

10105076896 is a wasteful number, since it uses less digits than its factorization.

10105076896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092721 (or 1092696 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 10105076896 in words is "ten billion, one hundred five million, seventy-six thousand, eight hundred ninety-six".