100745040 has 160 divisors (see below), whose sum is σ = 351977472. Its totient is φ = 23616000.

The previous prime is 100745039. The next prime is 100745053. The reversal of 100745040 is 40547001.

It is a junction number, because it is equal to n+sod(n) for n = 100744998 and 100745016.

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 31 ways as a sum of consecutive naturals, for example, 81225 + ... + 82455.

Almost surely, 2^100745040 is an apocalyptic number.

100745040 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 100745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

100745040 is an abundant number, since it is smaller than the sum of its proper divisors (251232432).

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

100745040 is a wasteful number, since it uses less digits than its factorization.

100745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 100745040 is about 10037.1828717026. The cubic root of 100745040 is about 465.3087555174.

It can be divided in two parts, 1007450 and 40, that added together give a triangular number (1007490 = T₁₄₁₉).

The spelling of 100745040 in words is "one hundred million, seven hundred forty-five thousand, forty".