101607240 has 128 divisors (see below), whose sum is σ = 353352960. Its totient is φ = 22892544.

The previous prime is 101607229. The next prime is 101607241. The reversal of 101607240 is 42706101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101607241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60492 + ... + 62148.

It is an arithmetic number, because the mean of its divisors is an integer number (2760570).

Almost surely, 2^101607240 is an apocalyptic number.

101607240 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 101607240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176676480).

101607240 is an abundant number, since it is smaller than the sum of its proper divisors (251745720).

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

101607240 is a wasteful number, since it uses less digits than its factorization.

101607240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 101607240 is about 10080.0416665806. The cubic root of 101607240 is about 466.6323943085.

The spelling of 101607240 in words is "one hundred one million, six hundred seven thousand, two hundred forty".