100351823040 has 672 divisors, whose sum is σ = 407078590464. Its totient is φ = 22213509120.

The previous prime is 100351823029. The next prime is 100351823053. The reversal of 100351823040 is 40328153001.

It is a happy number.

100351823040 is a `hidden beast` number, since 1 + 0 + 0 + 351 + 8 + 2 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 100351822995 and 100351823013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138035157 + ... + 138035883.

It is an arithmetic number, because the mean of its divisors is an integer number (605771712).

Almost surely, 2^100351823040 is an apocalyptic number.

100351823040 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 100351823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203539295232).

100351823040 is an abundant number, since it is smaller than the sum of its proper divisors (306726767424).

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

100351823040 is a wasteful number, since it uses less digits than its factorization.

100351823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100351823040 its reverse (40328153001), we get a palindrome (140679976041).

The spelling of 100351823040 in words is "one hundred billion, three hundred fifty-one million, eight hundred twenty-three thousand, forty".