101964038670 has 96 divisors (see below), whose sum is σ = 285919556832. Its totient is φ = 25061895936.

The previous prime is 101964038651. The next prime is 101964038677. The reversal of 101964038670 is 76830469101.

It is a happy number.

101964038670 is a `hidden beast` number, since 10 + 1 + 96 + 403 + 86 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101964038677) 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, 735312 + ... + 862908.

It is an arithmetic number, because the mean of its divisors is an integer number (2978328717).

Almost surely, 2^101964038670 is an apocalyptic number.

101964038670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101964038670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959778416).

101964038670 is an abundant number, since it is smaller than the sum of its proper divisors (183955518162).

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

101964038670 is a wasteful number, since it uses less digits than its factorization.

101964038670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128306 (or 128303 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 101964038670 in words is "one hundred one billion, nine hundred sixty-four million, thirty-eight thousand, six hundred seventy".