101609212608 has 336 divisors, whose sum is σ = 306761083200. Its totient is φ = 32114073600.

The previous prime is 101609212583. The next prime is 101609212613. The reversal of 101609212608 is 806212906101.

101609212608 is a `hidden beast` number, since 1 + 0 + 1 + 609 + 21 + 26 + 0 + 8 = 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 47 ways as a sum of consecutive naturals, for example, 386346685 + ... + 386346947.

Almost surely, 2^101609212608 is an apocalyptic number.

101609212608 is a gapful number since it is divisible by the number (18) 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 101609212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153380541600).

101609212608 is an abundant number, since it is smaller than the sum of its proper divisors (205151870592).

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

101609212608 is a wasteful number, since it uses less digits than its factorization.

101609212608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 101609212608 its sum of digits (36), we get a square (101609212644 = 318762²).

The spelling of 101609212608 in words is "one hundred one billion, six hundred nine million, two hundred twelve thousand, six hundred eight".