101367840 has 96 divisors (see below), whose sum is σ = 364936320. Its totient is φ = 23169024.

The previous prime is 101367811. The next prime is 101367883. The reversal of 101367840 is 48763101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101367798 and 101367807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11725 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (3801420).

Almost surely, 2^101367840 is an apocalyptic number.

101367840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101367840 is an abundant number, since it is smaller than the sum of its proper divisors (263568480).

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

101367840 is a wasteful number, since it uses less digits than its factorization.

101367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30194 (or 30186 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 101367840 is about 10068.1597126784. The cubic root of 101367840 is about 466.2656237053.

The spelling of 101367840 in words is "one hundred one million, three hundred sixty-seven thousand, eight hundred forty".