100726312 has 16 divisors (see below), whose sum is σ = 189043200. Its totient is φ = 50314800.

The previous prime is 100726303. The next prime is 100726331. The reversal of 100726312 is 213627001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3739 + ... + 14677.

It is an arithmetic number, because the mean of its divisors is an integer number (11815200).

Almost surely, 2^100726312 is an apocalyptic number.

It is an amenable number.

100726312 is a deficient number, since it is larger than the sum of its proper divisors (88316888).

100726312 is a wasteful number, since it uses less digits than its factorization.

100726312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 100726312 is about 10036.2498972475. The cubic root of 100726312 is about 465.2799208724.

It can be divided in two parts, 10072 and 6312, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 100726312 in words is "one hundred million, seven hundred twenty-six thousand, three hundred twelve".