101268726552 has 320 divisors, whose sum is σ = 333919576320. Its totient is φ = 28072541952.

The previous prime is 101268726551. The next prime is 101268726569. The reversal of 101268726552 is 255627862101.

101268726552 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 8 + 72 + 6 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101268726498 and 101268726507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101268726551) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30620883 + ... + 30624189.

It is an arithmetic number, because the mean of its divisors is an integer number (1043498676).

Almost surely, 2^101268726552 is an apocalyptic number.

101268726552 is a gapful number since it is divisible by the number (12) 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 101268726552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166959788160).

101268726552 is an abundant number, since it is smaller than the sum of its proper divisors (232650849768).

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

101268726552 is a wasteful number, since it uses less digits than its factorization.

101268726552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 101268726552 in words is "one hundred one billion, two hundred sixty-eight million, seven hundred twenty-six thousand, five hundred fifty-two".