100979034 has 64 divisors (see below), whose sum is σ = 232901760. Its totient is φ = 28926720.

The previous prime is 100979033. The next prime is 100979063. The reversal of 100979034 is 430979001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100978986 and 100979004.

It is not an unprimeable number, because it can be changed into a prime (100979033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89844 + ... + 90960.

It is an arithmetic number, because the mean of its divisors is an integer number (3639090).

Almost surely, 2^100979034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100979034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116450880).

100979034 is an abundant number, since it is smaller than the sum of its proper divisors (131922726).

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

100979034 is a wasteful number, since it uses less digits than its factorization.

100979034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 100979034 is about 10048.8324694961. The cubic root of 100979034 is about 465.6687245037.

Subtracting from 100979034 its sum of digits (33), we obtain a palindrome (100979001).

The spelling of 100979034 in words is "one hundred million, nine hundred seventy-nine thousand, thirty-four".