100145760 has 192 divisors, whose sum is σ = 370863360. Its totient is φ = 22394880.

The previous prime is 100145743. The next prime is 100145797. The reversal of 100145760 is 67541001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100145760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67911 + ... + 69369.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 2^100145760 is an apocalyptic number.

100145760 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 100145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

100145760 is an abundant number, since it is smaller than the sum of its proper divisors (270717600).

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

100145760 is a wasteful number, since it uses less digits than its factorization.

100145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 100145760 is about 10007.2853461865. The cubic root of 100145760 is about 464.3842932071.

Adding to 100145760 its reverse (67541001), we get a palindrome (167686761).

The spelling of 100145760 in words is "one hundred million, one hundred forty-five thousand, seven hundred sixty".