100266936 has 192 divisors, whose sum is σ = 332916480. Its totient is φ = 24837120.

The previous prime is 100266931. The next prime is 100266961. The reversal of 100266936 is 639662001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 100266897 and 100266906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100266931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297360 + ... + 297696.

It is an arithmetic number, because the mean of its divisors is an integer number (1733940).

Almost surely, 2^100266936 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 100266936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166458240).

100266936 is an abundant number, since it is smaller than the sum of its proper divisors (232649544).

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

100266936 is a wasteful number, since it uses less digits than its factorization.

100266936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 100266936 is about 10013.3379050145. The cubic root of 100266936 is about 464.5715188069.

The spelling of 100266936 in words is "one hundred million, two hundred sixty-six thousand, nine hundred thirty-six".