101846115840 has 480 divisors, whose sum is σ = 381908127744. Its totient is φ = 23084974080.

The previous prime is 101846115821. The next prime is 101846115859. The reversal of 101846115840 is 48511648101.

101846115840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101846115821) and next prime (101846115859).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47791575 + ... + 47793705.

Almost surely, 2^101846115840 is an apocalyptic number.

101846115840 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 101846115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190954063872).

101846115840 is an abundant number, since it is smaller than the sum of its proper divisors (280062011904).

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

101846115840 is a wasteful number, since it uses less digits than its factorization.

101846115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

It can be divided in two parts, 1018461 and 15840, that added together give a palindrome (1034301).

The spelling of 101846115840 in words is "one hundred one billion, eight hundred forty-six million, one hundred fifteen thousand, eight hundred forty".