101250240 has 448 divisors, whose sum is σ = 423306240. Its totient is φ = 19906560.

The previous prime is 101250161. The next prime is 101250257. The reversal of 101250240 is 42052101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×101250240² = 20503222200115200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659810 + ... + 1659870.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^101250240 is an apocalyptic number.

101250240 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 101250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

101250240 is an abundant number, since it is smaller than the sum of its proper divisors (322056000).

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

101250240 is a wasteful number, since it uses less digits than its factorization.

101250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 101250240 is about 10062.3178244379. The cubic root of 101250240 is about 466.0852441574.

It can be divided in two parts, 101250 and 240, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 101250240 in words is "one hundred one million, two hundred fifty thousand, two hundred forty".