101934264 has 64 divisors (see below), whose sum is σ = 262103040. Its totient is φ = 33022080.

The previous prime is 101934263. The next prime is 101934271. The reversal of 101934264 is 462439101.

It is a super-3 number, since 3×101934264³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101934263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161229 + ... + 161859.

It is an arithmetic number, because the mean of its divisors is an integer number (4095360).

Almost surely, 2^101934264 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 101934264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051520).

101934264 is an abundant number, since it is smaller than the sum of its proper divisors (160168776).

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

101934264 is a wasteful number, since it uses less digits than its factorization.

101934264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 101934264 is about 10096.2499969048. The cubic root of 101934264 is about 467.1324786506.

The spelling of 101934264 in words is "one hundred one million, nine hundred thirty-four thousand, two hundred sixty-four".