36406050100 has 288 divisors, whose sum is σ = 98413701120. Its totient is φ = 11410813440.

The previous prime is 36406050077. The next prime is 36406050101. The reversal of 36406050100 is 105060463.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36406050101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 82180479 + ... + 82180921.

It is an arithmetic number, because the mean of its divisors is an integer number (341714240).

Almost surely, 2^36406050100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36406050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49206850560).

36406050100 is an abundant number, since it is smaller than the sum of its proper divisors (62007651020).

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

36406050100 is a wasteful number, since it uses less digits than its factorization.

36406050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 36406050100 in words is "thirty-six billion, four hundred six million, fifty thousand, one hundred".