100137870 has 216 divisors, whose sum is σ = 325287144. Its totient is φ = 22099392.

The previous prime is 100137859. The next prime is 100137887. The reversal of 100137870 is 78731001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3453016 + ... + 3453044.

It is an arithmetic number, because the mean of its divisors is an integer number (1505959).

Almost surely, 2^100137870 is an apocalyptic number.

100137870 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 100137870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162643572).

100137870 is an abundant number, since it is smaller than the sum of its proper divisors (225149274).

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

100137870 is an equidigital number, since it uses as much as digits as its factorization.

100137870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 100137870 is about 10006.8911256194. The cubic root of 100137870 is about 464.3720973561.

Adding to 100137870 its reverse (78731001), we get a palindrome (178868871).

The spelling of 100137870 in words is "one hundred million, one hundred thirty-seven thousand, eight hundred seventy".