100100154 has 48 divisors (see below), whose sum is σ = 251504064. Its totient is φ = 25998720.

The previous prime is 100100149. The next prime is 100100159. The reversal of 100100154 is 451001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100100149) and next prime (100100159).

It is not an unprimeable number, because it can be changed into a prime (100100159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4767 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (5239668).

Almost surely, 2^100100154 is an apocalyptic number.

100100154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100100154 is an abundant number, since it is smaller than the sum of its proper divisors (151403910).

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

100100154 is a wasteful number, since it uses less digits than its factorization.

100100154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19731 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 100100154 is about 10005.0064467745. The cubic root of 100100154 is about 464.3137895539.

Adding to 100100154 its reverse (451001001), we get a palindrome (551101155).

The spelling of 100100154 in words is "one hundred million, one hundred thousand, one hundred fifty-four".