85854860100 has 81 divisors (see below), whose sum is σ = 269134844797. Its totient is φ = 22892285280.

The previous prime is 85854860089. The next prime is 85854860111. The reversal of 85854860100 is 106845858.

The square root of 85854860100 is 293010.

It is a perfect power (a square), and thus also a powerful number.

85854860100 is a `hidden beast` number, since 8 + 585 + 4 + 8 + 60 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85854860089) and next prime (85854860111).

It can be written as a sum of positive squares in only one way, i.e., 30907749636 + 54947110464 = 175806^2 + 234408^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8785417 + ... + 8795183.

Almost surely, 2^85854860100 is an apocalyptic number.

85854860100 is the 293010-th square number.

It is an amenable number.

85854860100 is an abundant number, since it is smaller than the sum of its proper divisors (183279984697).

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

85854860100 is an equidigital number, since it uses as much as digits as its factorization.

85854860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19554 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 85854860100 in words is "eighty-five billion, eight hundred fifty-four million, eight hundred sixty thousand, one hundred".