101896648260 has 192 divisors, whose sum is σ = 318257952768. Its totient is φ = 24352944000.

The previous prime is 101896648247. The next prime is 101896648303. The reversal of 101896648260 is 62846698101.

It is a super-2 number, since 2×101896648260² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5661075 + ... + 5679045.

It is an arithmetic number, because the mean of its divisors is an integer number (1657593504).

Almost surely, 2^101896648260 is an apocalyptic number.

101896648260 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 101896648260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159128976384).

101896648260 is an abundant number, since it is smaller than the sum of its proper divisors (216361304508).

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

101896648260 is a wasteful number, since it uses less digits than its factorization.

101896648260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18087 (or 18063 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 101896648260 in words is "one hundred one billion, eight hundred ninety-six million, six hundred forty-eight thousand, two hundred sixty".