102690983926336 has 189 divisors, whose sum is σ = 222574791881403. Its totient is φ = 46987736140800.

The previous prime is 102690983926331. The next prime is 102690983926339. The reversal of 102690983926336 is 633629389096201.

The square root of 102690983926336 is 10133656.

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 22536014400 + 102668447911936 = 150120^2 + 10132544^2 .

It is not an unprimeable number, because it can be changed into a prime (102690983926331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146492130786 + ... + 146492131486.

Almost surely, 2^{102690983926336} is an apocalyptic number.

102690983926336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102690983926336 is the 10133656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102690983926336

102690983926336 is an abundant number, since it is smaller than the sum of its proper divisors (119883807955067).

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

102690983926336 is an frugal number, since it uses more digits than its factorization.

102690983926336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 67.

The spelling of 102690983926336 in words is "one hundred two trillion, six hundred ninety billion, nine hundred eighty-three million, nine hundred twenty-six thousand, three hundred thirty-six".