101247960 has 192 divisors, whose sum is σ = 352396800. Its totient is φ = 23189760.

The previous prime is 101247959. The next prime is 101247989. The reversal of 101247960 is 69742101.

It is a happy number.

It is a super-2 number, since 2×101247960² = 20502298808323200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275697 + ... + 276063.

It is an arithmetic number, because the mean of its divisors is an integer number (1835400).

Almost surely, 2^101247960 is an apocalyptic number.

101247960 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 101247960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176198400).

101247960 is an abundant number, since it is smaller than the sum of its proper divisors (251148840).

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

101247960 is a wasteful number, since it uses less digits than its factorization.

101247960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101247960 is about 10062.2045298235. The cubic root of 101247960 is about 466.0817456230.

The spelling of 101247960 in words is "one hundred one million, two hundred forty-seven thousand, nine hundred sixty".