100040850 has 216 divisors, whose sum is σ = 337673700. Its totient is φ = 21047040.

The previous prime is 100040791. The next prime is 100040911. The reversal of 100040850 is 58040001.

It can be written as a sum of positive squares in 6 ways, for example, as 29127609 + 70913241 = 5397^2 + 8421^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 286476 + ... + 286824.

Almost surely, 2^100040850 is an apocalyptic number.

100040850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100040850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836850).

100040850 is an abundant number, since it is smaller than the sum of its proper divisors (237632850).

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

100040850 is a wasteful number, since it uses less digits than its factorization.

100040850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100040850 is about 10002.0422914523. The cubic root of 100040850 is about 464.2220777250. Note that the first 3 decimals are identical.

Adding to 100040850 its reverse (58040001), we get a palindrome (158080851).

The spelling of 100040850 in words is "one hundred million, forty thousand, eight hundred fifty".