100906041600 has 2592 divisors, whose sum is σ = 495978921984. Its totient is φ = 19707494400.

The previous prime is 100906041571. The next prime is 100906041601. The reversal of 100906041600 is 6140609001.

100906041600 is a `hidden beast` number, since 10 + 0 + 9 + 0 + 6 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100906041601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3255033585 + ... + 3255033615.

Almost surely, 2^100906041600 is an apocalyptic number.

100906041600 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 100906041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247989460992).

100906041600 is an abundant number, since it is smaller than the sum of its proper divisors (395072880384).

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

100906041600 is a wasteful number, since it uses less digits than its factorization.

100906041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 100906041600 in words is "one hundred billion, nine hundred six million, forty-one thousand, six hundred".