101876947200 has 1296 divisors, whose sum is σ = 448373802240. Its totient is φ = 21540372480.

The previous prime is 101876947171. The next prime is 101876947213. The reversal of 101876947200 is 2749678101.

It is a happy number.

101876947200 is a `hidden beast` number, since 101 + 8 + 76 + 9 + 472 + 0 + 0 = 666.

It is a super-5 number, since 5×101876947200⁵ (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 610041517 + ... + 610041683.

It is an arithmetic number, because the mean of its divisors is an integer number (345967440).

Almost surely, 2^101876947200 is an apocalyptic number.

101876947200 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 101876947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224186901120).

101876947200 is an abundant number, since it is smaller than the sum of its proper divisors (346496855040).

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

101876947200 is a wasteful number, since it uses less digits than its factorization.

101876947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 101876 and 947200, that added together give a triangular number (1049076 = T₁₄₄₈).

The spelling of 101876947200 in words is "one hundred one billion, eight hundred seventy-six million, nine hundred forty-seven thousand, two hundred".