100105106651452 has 48 divisors (see below), whose sum is σ = 201454066372608. Its totient is φ = 42635763394560.

The previous prime is 100105106651423. The next prime is 100105106651597. The reversal of 100105106651452 is 254156601501001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18564373 + ... + 23341939.

It is an arithmetic number, because the mean of its divisors is an integer number (4196959716096).

Almost surely, 2^{100105106651452} is an apocalyptic number.

It is an amenable number.

100105106651452 is an abundant number, since it is smaller than the sum of its proper divisors (101348959721156).

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

100105106651452 is a wasteful number, since it uses less digits than its factorization.

100105106651452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782226 (or 4782224 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 100105106651452 in words is "one hundred trillion, one hundred five billion, one hundred six million, six hundred fifty-one thousand, four hundred fifty-two".