100186540416 has 256 divisors, whose sum is σ = 300736800000. Its totient is φ = 32829640704.

The previous prime is 100186540387. The next prime is 100186540427. The reversal of 100186540416 is 614045681001.

100186540416 is a `hidden beast` number, since 10 + 0 + 186 + 54 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66834835 + ... + 66836333.

It is an arithmetic number, because the mean of its divisors is an integer number (1174753125).

Almost surely, 2^100186540416 is an apocalyptic number.

100186540416 is a gapful number since it is divisible by the number (16) 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 100186540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400000).

100186540416 is an abundant number, since it is smaller than the sum of its proper divisors (200550259584).

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

100186540416 is a wasteful number, since it uses less digits than its factorization.

100186540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 100186540416 in words is "one hundred billion, one hundred eighty-six million, five hundred forty thousand, four hundred sixteen".