101837680450 has 48 divisors (see below), whose sum is σ = 211443493536. Its totient is φ = 36170668800.

The previous prime is 101837680433. The next prime is 101837680453. The reversal of 101837680450 is 54086738101.

101837680450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 101837680397 and 101837680406.

It is not an unprimeable number, because it can be changed into a prime (101837680453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2129367 + ... + 2176666.

It is an arithmetic number, because the mean of its divisors is an integer number (4405072782).

Almost surely, 2^101837680450 is an apocalyptic number.

101837680450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101837680450 is an abundant number, since it is smaller than the sum of its proper divisors (109605813086).

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

101837680450 is a wasteful number, since it uses less digits than its factorization.

101837680450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306099 (or 4306094 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

It can be divided in two parts, 101837 and 680450, that added together give a palindrome (782287).

The spelling of 101837680450 in words is "one hundred one billion, eight hundred thirty-seven million, six hundred eighty thousand, four hundred fifty".