101685150840 has 768 divisors, whose sum is σ = 396710697600. Its totient is φ = 20651065344.

The previous prime is 101685150839. The next prime is 101685150841. The reversal of 101685150840 is 48051586101.

It is an interprime number because it is at equal distance from previous prime (101685150839) and next prime (101685150841).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101685150841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 444039846 + ... + 444040074.

Almost surely, 2^101685150840 is an apocalyptic number.

101685150840 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 101685150840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198355348800).

101685150840 is an abundant number, since it is smaller than the sum of its proper divisors (295025546760).

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

101685150840 is a wasteful number, since it uses less digits than its factorization.

101685150840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 101685150840 in words is "one hundred one billion, six hundred eighty-five million, one hundred fifty thousand, eight hundred forty".