100814532 has 192 divisors, whose sum is σ = 314603520. Its totient is φ = 24385536.

The previous prime is 100814503. The next prime is 100814563. The reversal of 100814532 is 235418001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892108 + ... + 892220.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560).

Almost surely, 2^100814532 is an apocalyptic number.

100814532 is a gapful number since it is divisible by the number (12) 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 100814532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

100814532 is an abundant number, since it is smaller than the sum of its proper divisors (213788988).

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

100814532 is a wasteful number, since it uses less digits than its factorization.

100814532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100814532 is about 10040.6440032500. The cubic root of 100814532 is about 465.4157179516.

The spelling of 100814532 in words is "one hundred million, eight hundred fourteen thousand, five hundred thirty-two".