100612980 has 288 divisors, whose sum is σ = 362019840. Its totient is φ = 22394880.

The previous prime is 100612943. The next prime is 100613047. The reversal of 100612980 is 89216001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1378224 + ... + 1378296.

Almost surely, 2^100612980 is an apocalyptic number.

100612980 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 100612980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181009920).

100612980 is an abundant number, since it is smaller than the sum of its proper divisors (261406860).

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

100612980 is a wasteful number, since it uses less digits than its factorization.

100612980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100612980 is about 10030.6021753432. The cubic root of 100612980 is about 465.1053524732.

Adding to 100612980 its reverse (89216001), we get a palindrome (189828981).

It can be divided in two parts, 10061 and 2980, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 100612980 in words is "one hundred million, six hundred twelve thousand, nine hundred eighty".