100773640 has 96 divisors (see below), whose sum is σ = 255104640. Its totient is φ = 35784320.

The previous prime is 100773623. The next prime is 100773667. The reversal of 100773640 is 46377001.

It is a junction number, because it is equal to n+sod(n) for n = 100773599 and 100773608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227259 + ... + 227701.

It is an arithmetic number, because the mean of its divisors is an integer number (2657340).

Almost surely, 2^100773640 is an apocalyptic number.

100773640 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 100773640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127552320).

100773640 is an abundant number, since it is smaller than the sum of its proper divisors (154331000).

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

100773640 is a wasteful number, since it uses less digits than its factorization.

100773640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 100773640 is about 10038.6074731508. The cubic root of 100773640 is about 465.3527827347.

It can be divided in two parts, 1007 and 73640, that added together give a palindrome (74647).

The spelling of 100773640 in words is "one hundred million, seven hundred seventy-three thousand, six hundred forty".