100240909650 has 540 divisors, whose sum is σ = 332877231882. Its totient is φ = 21621841920.

The previous prime is 100240909621. The next prime is 100240909679. The reversal of 100240909650 is 56909042001.

It is an interprime number because it is at equal distance from previous prime (100240909621) and next prime (100240909679).

It can be written as a sum of positive squares in 3 ways, for example, as 96114260529 + 4126649121 = 310023^2 + 64239^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 390042322 + ... + 390042578.

Almost surely, 2^100240909650 is an apocalyptic number.

100240909650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100240909650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166438615941).

100240909650 is an abundant number, since it is smaller than the sum of its proper divisors (232636322232).

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

100240909650 is a wasteful number, since it uses less digits than its factorization.

100240909650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100240909650 in words is "one hundred billion, two hundred forty million, nine hundred nine thousand, six hundred fifty".