100069956 has 216 divisors, whose sum is σ = 322672896. Its totient is φ = 25966080.

The previous prime is 100069943. The next prime is 100069967. The reversal of 100069956 is 659960001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100069956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1409401 + ... + 1409471.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^100069956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100069956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448).

100069956 is an abundant number, since it is smaller than the sum of its proper divisors (222602940).

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

100069956 is a wasteful number, since it uses less digits than its factorization.

100069956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 100069956 is about 10003.4971884836. The cubic root of 100069956 is about 464.2670937948.

It can be divided in two parts, 100069 and 956, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100069956 in words is "one hundred million, sixty-nine thousand, nine hundred fifty-six".