101634540 has 96 divisors (see below), whose sum is σ = 330645504. Its totient is φ = 22844160.

The previous prime is 101634497. The next prime is 101634569. The reversal of 101634540 is 45436101.

It is a self number, because there is not a number n which added to its sum of digits gives 101634540.

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, 23637 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (3444224).

Almost surely, 2^101634540 is an apocalyptic number.

101634540 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 101634540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

101634540 is an abundant number, since it is smaller than the sum of its proper divisors (229010964).

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

101634540 is a wasteful number, since it uses less digits than its factorization.

101634540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 101634540 is about 10081.3957367023. The cubic root of 101634540 is about 466.6741824186.

The spelling of 101634540 in words is "one hundred one million, six hundred thirty-four thousand, five hundred forty".