101250320 has 40 divisors (see below), whose sum is σ = 241156440. Its totient is φ = 39511040.

The previous prime is 101250311. The next prime is 101250329. The reversal of 101250320 is 23052101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101250311) and next prime (101250329).

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 95335696 = 2432^2 + 9764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101250295 and 101250304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101250329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12155 + ... + 18714.

It is an arithmetic number, because the mean of its divisors is an integer number (6028911).

Almost surely, 2^101250320 is an apocalyptic number.

101250320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101250320 is an abundant number, since it is smaller than the sum of its proper divisors (139906120).

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

101250320 is a wasteful number, since it uses less digits than its factorization.

101250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30923 (or 30917 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 101250320 is about 10062.3217996643. The cubic root of 101250320 is about 466.0853669120.

The spelling of 101250320 in words is "one hundred one million, two hundred fifty thousand, three hundred twenty".