101951440 has 40 divisors (see below), whose sum is σ = 238277160. Its totient is φ = 40567296.

The previous prime is 101951429. The next prime is 101951441. The reversal of 101951440 is 44159101.

It can be written as a sum of positive squares in 4 ways, for example, as 12988816 + 88962624 = 3604^2 + 9432^2 .

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

It is a super-2 number, since 2×101951440² = 20788192236147200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101951441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12526 + ... + 18994.

It is an arithmetic number, because the mean of its divisors is an integer number (5956929).

Almost surely, 2^101951440 is an apocalyptic number.

101951440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101951440 is an abundant number, since it is smaller than the sum of its proper divisors (136325720).

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

101951440 is a wasteful number, since it uses less digits than its factorization.

101951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 101951440 is about 10097.1005739272. The cubic root of 101951440 is about 467.1587145682.

The spelling of 101951440 in words is "one hundred one million, nine hundred fifty-one thousand, four hundred forty".