100072834 has 8 divisors (see below), whose sum is σ = 151103808. Its totient is φ = 49704900.

The previous prime is 100072831. The next prime is 100072837. The reversal of 100072834 is 438270001.

It is an interprime number because it is at equal distance from previous prime (100072831) and next prime (100072837).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 100072799 and 100072808.

It is not an unprimeable number, because it can be changed into a prime (100072831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165382 + ... + 165985.

It is an arithmetic number, because the mean of its divisors is an integer number (18887976).

Almost surely, 2^100072834 is an apocalyptic number.

100072834 is a deficient number, since it is larger than the sum of its proper divisors (51030974).

100072834 is a wasteful number, since it uses less digits than its factorization.

100072834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331520.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 100072834 is about 10003.6410371424. The cubic root of 100072834 is about 464.2715445075.

The spelling of 100072834 in words is "one hundred million, seventy-two thousand, eight hundred thirty-four".