101855940 has 96 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 26449920.

The previous prime is 101855939. The next prime is 101855977. The reversal of 101855940 is 49558101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562650 + ... + 562830.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^101855940 is an apocalyptic number.

101855940 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 101855940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

101855940 is an abundant number, since it is smaller than the sum of its proper divisors (190939836).

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

101855940 is a wasteful number, since it uses less digits than its factorization.

101855940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 101855940 is about 10092.3703855933. The cubic root of 101855940 is about 467.0128032903.

The spelling of 101855940 in words is "one hundred one million, eight hundred fifty-five thousand, nine hundred forty".