101835840 has 224 divisors, whose sum is σ = 344692224. Its totient is φ = 25436160.

The previous prime is 101835827. The next prime is 101835857. The reversal of 101835840 is 48538101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101835798 and 101835807.

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, 1669410 + ... + 1669470.

Almost surely, 2^101835840 is an apocalyptic number.

101835840 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 101835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346112).

101835840 is an abundant number, since it is smaller than the sum of its proper divisors (242856384).

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

101835840 is a wasteful number, since it uses less digits than its factorization.

101835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 101835840 is about 10091.3745347202. The cubic root of 101835840 is about 466.9820815511.

The spelling of 101835840 in words is "one hundred one million, eight hundred thirty-five thousand, eight hundred forty".