101859840 has 120 divisors (see below), whose sum is σ = 352849068. Its totient is φ = 27156480.

The previous prime is 101859839. The next prime is 101859859. The reversal of 101859840 is 48958101.

101859840 is a `hidden beast` number, since 10 + 18 + 598 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 1218816 = 10032^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101859795 and 101859804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20830 + ... + 25250.

Almost surely, 2^101859840 is an apocalyptic number.

101859840 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 101859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176424534).

101859840 is an abundant number, since it is smaller than the sum of its proper divisors (250989228).

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

101859840 is an equidigital number, since it uses as much as digits as its factorization.

101859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 101859840 is about 10092.5635990069. The cubic root of 101859840 is about 467.0187637566.

The spelling of 101859840 in words is "one hundred one million, eight hundred fifty-nine thousand, eight hundred forty".