101059440 has 40 divisors (see below), whose sum is σ = 313285008. Its totient is φ = 26949120.

The previous prime is 101059433. The next prime is 101059451. The reversal of 101059440 is 44950101.

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

It is a super-3 number, since 3×101059440³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 101059440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210301 + ... + 210780.

Almost surely, 2^101059440 is an apocalyptic number.

101059440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101059440 is an abundant number, since it is smaller than the sum of its proper divisors (212225568).

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

101059440 is a wasteful number, since it uses less digits than its factorization.

101059440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421097 (or 421091 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101059440 is about 10052.8324366817. The cubic root of 101059440 is about 465.7922901732.

The spelling of 101059440 in words is "one hundred one million, fifty-nine thousand, four hundred forty".