106882770501 has 18 divisors (see below), whose sum is σ = 167175617778. Its totient is φ = 65774011680.

The previous prime is 106882770461. The next prime is 106882770523. The reversal of 106882770501 is 105077288601.

It is a happy number.

106882770501 is a `hidden beast` number, since 1 + 0 + 68 + 82 + 7 + 7 + 0 + 501 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9038304900 + 97844465601 = 95070^2 + 312801^2 .

It is not a de Polignac number, because 106882770501 - 2⁶ = 106882770437 is a prime.

It is a super-2 number, since 2×106882770501² (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 (106882770901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35134170 + ... + 35137211.

It is an arithmetic number, because the mean of its divisors is an integer number (9287534321).

Almost surely, 2^106882770501 is an apocalyptic number.

It is an amenable number.

106882770501 is a deficient number, since it is larger than the sum of its proper divisors (60292847277).

106882770501 is a wasteful number, since it uses less digits than its factorization.

106882770501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70271413 (or 70271397 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 106882770501 in words is "one hundred six billion, eight hundred eighty-two million, seven hundred seventy thousand, five hundred one".