100400670030 has 64 divisors (see below), whose sum is σ = 255350491200. Its totient is φ = 25219783680.

The previous prime is 100400670023. The next prime is 100400670037. The reversal of 100400670030 is 30076004001.

It is an interprime number because it is at equal distance from previous prime (100400670023) and next prime (100400670037).

It is a junction number, because it is equal to n+sod(n) for n = 100400669979 and 100400670006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400670037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371685 + ... + 1443024.

It is an arithmetic number, because the mean of its divisors is an integer number (3989851425).

Almost surely, 2^100400670030 is an apocalyptic number.

100400670030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100400670030 is an abundant number, since it is smaller than the sum of its proper divisors (154949821170).

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

100400670030 is a wasteful number, since it uses less digits than its factorization.

100400670030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814789.

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 100400670030 its reverse (30076004001), we get a palindrome (130476674031).

The spelling of 100400670030 in words is "one hundred billion, four hundred million, six hundred seventy thousand, thirty".