101851440 has 80 divisors (see below), whose sum is σ = 316908288. Its totient is φ = 27059968.

The previous prime is 101851439. The next prime is 101851469. The reversal of 101851440 is 44158101.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101851440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82669 + ... + 83891.

Almost surely, 2^101851440 is an apocalyptic number.

101851440 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 101851440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158454144).

101851440 is an abundant number, since it is smaller than the sum of its proper divisors (215056848).

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

101851440 is a wasteful number, since it uses less digits than its factorization.

101851440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 101851440 is about 10092.1474424426. The cubic root of 101851440 is about 467.0059256402.

The spelling of 101851440 in words is "one hundred one million, eight hundred fifty-one thousand, four hundred forty".