100541960640 has 448 divisors, whose sum is σ = 400287744000. Its totient is φ = 23532687360.

The previous prime is 100541960621. The next prime is 100541960653. The reversal of 100541960640 is 46069145001.

100541960640 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 1 + 9 + 6 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100541960595 and 100541960604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2737921 + ... + 2774399.

Almost surely, 2^100541960640 is an apocalyptic number.

100541960640 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 100541960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200143872000).

100541960640 is an abundant number, since it is smaller than the sum of its proper divisors (299745783360).

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

100541960640 is a wasteful number, since it uses less digits than its factorization.

100541960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36545 (or 36529 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100541960640 in words is "one hundred billion, five hundred forty-one million, nine hundred sixty thousand, six hundred forty".