101964520 has 128 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 32820480.

The previous prime is 101964491. The next prime is 101964523. The reversal of 101964520 is 25469101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (101964523) 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, 457129 + ... + 457351.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^101964520 is an apocalyptic number.

101964520 is a gapful number since it is divisible by the number (10) 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 101964520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

101964520 is an abundant number, since it is smaller than the sum of its proper divisors (176727320).

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

101964520 is a wasteful number, since it uses less digits than its factorization.

101964520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 101964520 is about 10097.7482638458. The cubic root of 101964520 is about 467.1786919701.

The spelling of 101964520 in words is "one hundred one million, nine hundred sixty-four thousand, five hundred twenty".