101964720 has 160 divisors (see below), whose sum is σ = 371476224. Its totient is φ = 22809600.

The previous prime is 101964683. The next prime is 101964781. The reversal of 101964720 is 27469101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32835 + ... + 35805.

Almost surely, 2^101964720 is an apocalyptic number.

101964720 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 101964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185738112).

101964720 is an abundant number, since it is smaller than the sum of its proper divisors (269511504).

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

101964720 is a wasteful number, since it uses less digits than its factorization.

101964720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101964720 is about 10097.7581670389. The cubic root of 101964720 is about 467.1789974217.

The spelling of 101964720 in words is "one hundred one million, nine hundred sixty-four thousand, seven hundred twenty".