101293104 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 27751680.

The previous prime is 101293097. The next prime is 101293109. The reversal of 101293104 is 401392101.

It is not an unprimeable number, because it can be changed into a prime (101293109) 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, 230517 + ... + 230955.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2^101293104 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 101293104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

101293104 is an abundant number, since it is smaller than the sum of its proper divisors (212972496).

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

101293104 is a wasteful number, since it uses less digits than its factorization.

101293104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 101293104 is about 10064.4475258208. The cubic root of 101293104 is about 466.1510068305.

The spelling of 101293104 in words is "one hundred one million, two hundred ninety-three thousand, one hundred four".