10098642064 has 135 divisors (see below), whose sum is σ = 23636008683. Its totient is φ = 4167604224.

The previous prime is 10098642019. The next prime is 10098642083. The reversal of 10098642064 is 46024689001.

The square root of 10098642064 is 100492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1560882064 + 8537760000 = 39508^2 + 92400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104109664 + ... + 104109760.

Almost surely, 2^10098642064 is an apocalyptic number.

10098642064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10098642064 is the 100492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098642064

10098642064 is an abundant number, since it is smaller than the sum of its proper divisors (13537366619).

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

10098642064 is an frugal number, since it uses more digits than its factorization.

10098642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

Multiplying 10098642064 by its product of nonzero digits (82944), we get a square (837621767356416 = 28941696²).

The spelling of 10098642064 in words is "ten billion, ninety-eight million, six hundred forty-two thousand, sixty-four".