101163840 has 56 divisors (see below), whose sum is σ = 321198240. Its totient is φ = 26976768.

The previous prime is 101163827. The next prime is 101163841. The reversal of 101163840 is 48361101.

It is a super-3 number, since 3×101163840³ (a number of 25 digits) contains 333 as substring.

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 101163840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101163841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51730 + ... + 53649.

Almost surely, 2^101163840 is an apocalyptic number.

101163840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101163840 is an abundant number, since it is smaller than the sum of its proper divisors (220034400).

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

101163840 is a wasteful number, since it uses less digits than its factorization.

101163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105399 (or 105389 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101163840 is about 10058.0236627282. The cubic root of 101163840 is about 465.9526313853.

The spelling of 101163840 in words is "one hundred one million, one hundred sixty-three thousand, eight hundred forty".