100509696 has 288 divisors, whose sum is σ = 357739200. Its totient is φ = 26542080.

The previous prime is 100509691. The next prime is 100509697. The reversal of 100509696 is 696905001.

It is a tau number, because it is divible by the number of its divisors (288).

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 100509696.

It is not an unprimeable number, because it can be changed into a prime (100509691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451436 + ... + 2451476.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2^100509696 is an apocalyptic number.

100509696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

100509696 is an abundant number, since it is smaller than the sum of its proper divisors (257229504).

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

100509696 is a wasteful number, since it uses less digits than its factorization.

100509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

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

The square root of 100509696 is about 10025.4524087445. The cubic root of 100509696 is about 464.9461470759.

It can be divided in two parts, 100 and 509696, that added together give a square (509796 = 714²).

The spelling of 100509696 in words is "one hundred million, five hundred nine thousand, six hundred ninety-six".