101293332 has 48 divisors (see below), whose sum is σ = 284336640. Its totient is φ = 27417312.

The previous prime is 101293301. The next prime is 101293363. The reversal of 101293332 is 233392101.

It is an interprime number because it is at equal distance from previous prime (101293301) and next prime (101293363).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30138 + ... + 33329.

It is an arithmetic number, because the mean of its divisors is an integer number (5923680).

Almost surely, 2^101293332 is an apocalyptic number.

101293332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101293332 is an abundant number, since it is smaller than the sum of its proper divisors (183043308).

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

101293332 is a wasteful number, since it uses less digits than its factorization.

101293332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63500 (or 63498 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 101293332 is about 10064.4588528147. The cubic root of 101293332 is about 466.1513565824.

The spelling of 101293332 in words is "one hundred one million, two hundred ninety-three thousand, three hundred thirty-two".