106015701825 has 360 divisors, whose sum is σ = 226041891768. Its totient is φ = 49040640000.

The previous prime is 106015701821. The next prime is 106015701859. The reversal of 106015701825 is 528107510601.

106015701825 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 570 + 1 + 82 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 62834446224 + 43181255601 = 250668^2 + 207801^2 .

It is not a de Polignac number, because 106015701825 - 2² = 106015701821 is a prime.

It is a super-2 number, since 2×106015701825² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106015701825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106015701821) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 612807439 + ... + 612807611.

Almost surely, 2^106015701825 is an apocalyptic number.

106015701825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106015701825 is an abundant number, since it is smaller than the sum of its proper divisors (120026189943).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106015701825 is a wasteful number, since it uses less digits than its factorization.

106015701825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 106015701825 in words is "one hundred six billion, fifteen million, seven hundred one thousand, eight hundred twenty-five".