100870257990240 has 960 divisors, whose sum is σ = 381474766632960. Its totient is φ = 25042039418880.

The previous prime is 100870257990197. The next prime is 100870257990289. The reversal of 100870257990240 is 42099752078001.

It is a super-3 number, since 3×100870257990240³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2535746671 + ... + 2535786449.

It is an arithmetic number, because the mean of its divisors is an integer number (397369548576).

Almost surely, 2^{100870257990240} is an apocalyptic number.

100870257990240 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 100870257990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190737383316480).

100870257990240 is an abundant number, since it is smaller than the sum of its proper divisors (280604508642720).

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

100870257990240 is a wasteful number, since it uses less digits than its factorization.

100870257990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40057 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 100870257990240 in words is "one hundred trillion, eight hundred seventy billion, two hundred fifty-seven million, nine hundred ninety thousand, two hundred forty".