100416825495 has 288 divisors, whose sum is σ = 217314639360. Its totient is φ = 43567372800.

The previous prime is 100416825461. The next prime is 100416825521. The reversal of 100416825495 is 594528614001.

100416825495 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 68 + 2 + 549 + 5 = 666.

It is not a de Polignac number, because 100416825495 - 2¹⁴ = 100416809111 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100416825495.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 722423136 + ... + 722423274.

It is an arithmetic number, because the mean of its divisors is an integer number (754564720).

Almost surely, 2^100416825495 is an apocalyptic number.

100416825495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100416825495 is an abundant number, since it is smaller than the sum of its proper divisors (116897813865).

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

100416825495 is a wasteful number, since it uses less digits than its factorization.

100416825495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 100416825495 in words is "one hundred billion, four hundred sixteen million, eight hundred twenty-five thousand, four hundred ninety-five".