100107150 has 144 divisors (see below), whose sum is σ = 294088320. Its totient is φ = 22339200.

The previous prime is 100107127. The next prime is 100107151. The reversal of 100107150 is 51701001.

It is a super-2 number, since 2×100107150² = 20042882962245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100107151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 278671 + ... + 279029.

It is an arithmetic number, because the mean of its divisors is an integer number (2042280).

Almost surely, 2^100107150 is an apocalyptic number.

100107150 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 100107150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044160).

100107150 is an abundant number, since it is smaller than the sum of its proper divisors (193981170).

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

100107150 is a wasteful number, since it uses less digits than its factorization.

100107150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 100107150 is about 10005.3560656280. The cubic root of 100107150 is about 464.3246062658.

Adding to 100107150 its reverse (51701001), we get a palindrome (151808151).

The spelling of 100107150 in words is "one hundred million, one hundred seven thousand, one hundred fifty".