101970795840 has 224 divisors, whose sum is σ = 333148692096. Its totient is φ = 26413670400.

The previous prime is 101970795833. The next prime is 101970795863. The reversal of 101970795840 is 48597079101.

It is a happy number.

It is a super-2 number, since 2×101970795840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128959 + ... + 5148801.

Almost surely, 2^101970795840 is an apocalyptic number.

101970795840 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 101970795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166574346048).

101970795840 is an abundant number, since it is smaller than the sum of its proper divisors (231177896256).

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

101970795840 is a wasteful number, since it uses less digits than its factorization.

101970795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 101970795840 in words is "one hundred one billion, nine hundred seventy million, seven hundred ninety-five thousand, eight hundred forty".