100935840 has 48 divisors (see below), whose sum is σ = 317949408. Its totient is φ = 26916096.

The previous prime is 100935839. The next prime is 100935869. The reversal of 100935840 is 48539001.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 100935798 and 100935807.

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 7 ways as a sum of consecutive naturals, for example, 104662 + ... + 105621.

It is an arithmetic number, because the mean of its divisors is an integer number (6623946).

Almost surely, 2^100935840 is an apocalyptic number.

100935840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100935840 is an abundant number, since it is smaller than the sum of its proper divisors (217013568).

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

100935840 is a wasteful number, since it uses less digits than its factorization.

100935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210301 (or 210293 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 100935840 is about 10046.6830347135. The cubic root of 100935840 is about 465.6023181000.

The spelling of 100935840 in words is "one hundred million, nine hundred thirty-five thousand, eight hundred forty".