100745120 has 96 divisors (see below), whose sum is σ = 273829248. Its totient is φ = 34311168.

The previous prime is 100745119. The next prime is 100745123. The reversal of 100745120 is 21547001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100745092 and 100745101.

It is not an unprimeable number, because it can be changed into a prime (100745123) by changing a digit.

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, 328007 + ... + 328313.

It is an arithmetic number, because the mean of its divisors is an integer number (2852388).

Almost surely, 2^100745120 is an apocalyptic number.

100745120 is a gapful number since it is divisible by the number (10) 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 100745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136914624).

100745120 is an abundant number, since it is smaller than the sum of its proper divisors (173084128).

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

100745120 is a wasteful number, since it uses less digits than its factorization.

100745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 100745120 is about 10037.1868568838. The cubic root of 100745120 is about 465.3088786821.

The spelling of 100745120 in words is "one hundred million, seven hundred forty-five thousand, one hundred twenty".