106540362215 has 64 divisors (see below), whose sum is σ = 156546647040. Its totient is φ = 67979658240.

The previous prime is 106540362191. The next prime is 106540362217. The reversal of 106540362215 is 512263045601.

It is not a de Polignac number, because 106540362215 - 2²² = 106536167911 is a prime.

It is a super-2 number, since 2×106540362215² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106540362217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38008004 + ... + 38010806.

It is an arithmetic number, because the mean of its divisors is an integer number (2446041360).

Almost surely, 2^106540362215 is an apocalyptic number.

106540362215 is a deficient number, since it is larger than the sum of its proper divisors (50006284825).

106540362215 is a wasteful number, since it uses less digits than its factorization.

106540362215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 106540362215 in words is "one hundred six billion, five hundred forty million, three hundred sixty-two thousand, two hundred fifteen".