101435796 has 288 divisors, whose sum is σ = 350558208. Its totient is φ = 23950080.

The previous prime is 101435791. The next prime is 101435837. The reversal of 101435796 is 697534101.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 101435796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101435791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2358951 + ... + 2358993.

It is an arithmetic number, because the mean of its divisors is an integer number (1217216).

Almost surely, 2^101435796 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 101435796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175279104).

101435796 is an abundant number, since it is smaller than the sum of its proper divisors (249122412).

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

101435796 is a wasteful number, since it uses less digits than its factorization.

101435796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 101435796 is about 10071.5339447375. The cubic root of 101435796 is about 466.3697937221.

Adding to 101435796 its reverse (697534101), we get a palindrome (798969897).

The spelling of 101435796 in words is "one hundred one million, four hundred thirty-five thousand, seven hundred ninety-six".