106035746445 has 48 divisors (see below), whose sum is σ = 190030042800. Its totient is φ = 54654538752.

The previous prime is 106035746437. The next prime is 106035746461. The reversal of 106035746445 is 544647530601.

106035746445 is a `hidden beast` number, since 10 + 6 + 0 + 3 + 574 + 64 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11269449 + 106024476996 = 3357^2 + 325614^2 .

It is not a de Polignac number, because 106035746445 - 2³ = 106035746437 is a prime.

It is a super-2 number, since 2×106035746445² (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 106035746445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34377 + ... + 461793.

It is an arithmetic number, because the mean of its divisors is an integer number (3958959225).

Almost surely, 2^106035746445 is an apocalyptic number.

106035746445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106035746445 is a deficient number, since it is larger than the sum of its proper divisors (83994296355).

106035746445 is a wasteful number, since it uses less digits than its factorization.

106035746445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427614 (or 427611 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 106035746445 in words is "one hundred six billion, thirty-five million, seven hundred forty-six thousand, four hundred forty-five".