102348626560 has 128 divisors (see below), whose sum is σ = 248797841040. Its totient is φ = 40255488000.

The previous prime is 102348626503. The next prime is 102348626629. The reversal of 102348626560 is 65626843201.

It can be written as a sum of positive squares in 8 ways, for example, as 21524410944 + 80824215616 = 146712^2 + 284296^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×102348626560⁴ (a number of 45 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9741310 + ... + 9751810.

Almost surely, 2^102348626560 is an apocalyptic number.

102348626560 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 102348626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124398920520).

102348626560 is an abundant number, since it is smaller than the sum of its proper divisors (146449214480).

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

102348626560 is a wasteful number, since it uses less digits than its factorization.

102348626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 102348626560 in words is "one hundred two billion, three hundred forty-eight million, six hundred twenty-six thousand, five hundred sixty".