195542216100 has 1152 divisors, whose sum is σ = 844385955840. Its totient is φ = 37573632000.

The previous prime is 195542216069. The next prime is 195542216119. The reversal of 195542216100 is 1612245591.

195542216100 is a `hidden beast` number, since 1 + 9 + 5 + 542 + 2 + 1 + 6 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 215591847 + ... + 215592753.

It is an arithmetic number, because the mean of its divisors is an integer number (732973920).

Almost surely, 2^195542216100 is an apocalyptic number.

195542216100 is a gapful number since it is divisible by the number (10) 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 195542216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422192977920).

195542216100 is an abundant number, since it is smaller than the sum of its proper divisors (648843739740).

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

195542216100 is a wasteful number, since it uses less digits than its factorization.

195542216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 195542216100 in words is "one hundred ninety-five billion, five hundred forty-two million, two hundred sixteen thousand, one hundred".