100845432 has 128 divisors (see below), whose sum is σ = 298598400. Its totient is φ = 31464576.

The previous prime is 100845421. The next prime is 100845443. The reversal of 100845432 is 234548001.

It is an interprime number because it is at equal distance from previous prime (100845421) and next prime (100845443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100845396 and 100845405.

It is a congruent number.

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, 263113 + ... + 263495.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2^100845432 is an apocalyptic number.

100845432 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 100845432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

100845432 is an abundant number, since it is smaller than the sum of its proper divisors (197752968).

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

100845432 is a wasteful number, since it uses less digits than its factorization.

100845432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 100845432 is about 10042.1826312809. The cubic root of 100845432 is about 465.4632635992.

The spelling of 100845432 in words is "one hundred million, eight hundred forty-five thousand, four hundred thirty-two".