101750040 has 256 divisors, whose sum is σ = 397900800. Its totient is φ = 22643712.

The previous prime is 101750039. The next prime is 101750053. The reversal of 101750040 is 40057101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101749995 and 101750022.

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, 324924 + ... + 325236.

It is an arithmetic number, because the mean of its divisors is an integer number (1554300).

Almost surely, 2^101750040 is an apocalyptic number.

101750040 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 101750040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198950400).

101750040 is an abundant number, since it is smaller than the sum of its proper divisors (296150760).

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

101750040 is a wasteful number, since it uses less digits than its factorization.

101750040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101750040 is about 10087.1224836422. The cubic root of 101750040 is about 466.8508955153.

The spelling of 101750040 in words is "one hundred one million, seven hundred fifty thousand, forty".