106562464465251 has 16 divisors (see below), whose sum is σ = 149989896224000. Its totient is φ = 67109764971168.

The previous prime is 106562464465243. The next prime is 106562464465283. The reversal of 106562464465251 is 152564464265601.

It is not a de Polignac number, because 106562464465251 - 2³ = 106562464465243 is a prime.

It is a super-2 number, since 2×106562464465251² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106562464465191 and 106562464465200.

It is not an unprimeable number, because it can be changed into a prime (106562464465151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678371111 + ... + 2678410896.

It is an arithmetic number, because the mean of its divisors is an integer number (9374368514000).

Almost surely, 2^{106562464465251} is an apocalyptic number.

106562464465251 is a deficient number, since it is larger than the sum of its proper divisors (43427431758749).

106562464465251 is a wasteful number, since it uses less digits than its factorization.

106562464465251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356782378.

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 106562464465251 in words is "one hundred six trillion, five hundred sixty-two billion, four hundred sixty-four million, four hundred sixty-five thousand, two hundred fifty-one".