106211656461 has 32 divisors (see below), whose sum is σ = 148652310528. Its totient is φ = 67326557760.

The previous prime is 106211656409. The next prime is 106211656519. The reversal of 106211656461 is 164656112601.

It is a happy number.

It is not a de Polignac number, because 106211656461 - 2¹⁰ = 106211655437 is a prime.

It is a super-2 number, since 2×106211656461² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106211656261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32115570 + ... + 32118876.

It is an arithmetic number, because the mean of its divisors is an integer number (4645384704).

Almost surely, 2^106211656461 is an apocalyptic number.

It is an amenable number.

106211656461 is a deficient number, since it is larger than the sum of its proper divisors (42440654067).

106211656461 is a wasteful number, since it uses less digits than its factorization.

106211656461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961.

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 106211656461 in words is "one hundred six billion, two hundred eleven million, six hundred fifty-six thousand, four hundred sixty-one".