101620764 has 96 divisors (see below), whose sum is σ = 318850560. Its totient is φ = 27323136.

The previous prime is 101620763. The next prime is 101620777. The reversal of 101620764 is 467026101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101620763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8899 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (3321360).

Almost surely, 2^101620764 is an apocalyptic number.

101620764 is a gapful number since it is divisible by the number (14) 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 101620764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159425280).

101620764 is an abundant number, since it is smaller than the sum of its proper divisors (217229796).

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

101620764 is a wasteful number, since it uses less digits than its factorization.

101620764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101620764 is about 10080.7124748204. The cubic root of 101620764 is about 466.6530964308.

Adding to 101620764 its reverse (467026101), we get a palindrome (568646865).

The spelling of 101620764 in words is "one hundred one million, six hundred twenty thousand, seven hundred sixty-four".