106372826145 has 48 divisors (see below), whose sum is σ = 187312245120. Its totient is φ = 55835025408.

The previous prime is 106372826137. The next prime is 106372826167. The reversal of 106372826145 is 541628273601.

106372826145 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 28 + 2 + 614 + 5 = 666.

It is not a de Polignac number, because 106372826145 - 2³ = 106372826137 is a prime.

It is a super-2 number, since 2×106372826145² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106372826145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928161 + ... + 1036449.

It is an arithmetic number, because the mean of its divisors is an integer number (3902338440).

Almost surely, 2^106372826145 is an apocalyptic number.

106372826145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106372826145 is a deficient number, since it is larger than the sum of its proper divisors (80939418975).

106372826145 is a wasteful number, since it uses less digits than its factorization.

106372826145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108646 (or 108643 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106372826145 in words is "one hundred six billion, three hundred seventy-two million, eight hundred twenty-six thousand, one hundred forty-five".