100162000 has 80 divisors (see below), whose sum is σ = 246461904. Its totient is φ = 39360000.

The previous prime is 100161973. The next prime is 100162001. The reversal of 100162000 is 261001.

It can be written as a sum of positive squares in 8 ways, for example, as 73205136 + 26956864 = 8556^2 + 5192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100162001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121590 + ... + 122410.

Almost surely, 2^100162000 is an apocalyptic number.

100162000 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 100162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123230952).

100162000 is an abundant number, since it is smaller than the sum of its proper divisors (146299904).

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

100162000 is an equidigital number, since it uses as much as digits as its factorization.

100162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100162000 is about 10008.0967221545. The cubic root of 100162000 is about 464.4093939312.

Subtracting from 100162000 its reverse (261001), we obtain a palindrome (99900999).

It can be divided in two parts, 1001 and 62000, that added together give a square (63001 = 251²).

The spelling of 100162000 in words is "one hundred million, one hundred sixty-two thousand".