101480640 has 112 divisors (see below), whose sum is σ = 331024992. Its totient is φ = 26320896.

The previous prime is 101480629. The next prime is 101480641. The reversal of 101480640 is 46084101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101480640.

It is not an unprimeable number, because it can be changed into a prime (101480641) 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, 34092 + ... + 36948.

Almost surely, 2^101480640 is an apocalyptic number.

101480640 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 101480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165512496).

101480640 is an abundant number, since it is smaller than the sum of its proper divisors (229544352).

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

101480640 is a wasteful number, since it uses less digits than its factorization.

101480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 101480640 is about 10073.7599733168. The cubic root of 101480640 is about 466.4385097857.

The spelling of 101480640 in words is "one hundred one million, four hundred eighty thousand, six hundred forty".