101013540 has 48 divisors (see below), whose sum is σ = 283500672. Its totient is φ = 26873856.

The previous prime is 101013511. The next prime is 101013547. The reversal of 101013540 is 45310101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101013547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27492 + ... + 30948.

It is an arithmetic number, because the mean of its divisors is an integer number (5906264).

Almost surely, 2^101013540 is an apocalyptic number.

101013540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013540 is an abundant number, since it is smaller than the sum of its proper divisors (182487132).

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

101013540 is a wasteful number, since it uses less digits than its factorization.

101013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101013540 is about 10050.5492387232. The cubic root of 101013540 is about 465.7217603814.

Adding to 101013540 its reverse (45310101), we get a palindrome (146323641).

The spelling of 101013540 in words is "one hundred one million, thirteen thousand, five hundred forty".