106251003261 has 48 divisors (see below), whose sum is σ = 171508122240. Its totient is φ = 65344294080.

The previous prime is 106251003253. The next prime is 106251003301. The reversal of 106251003261 is 162300152601.

106251003261 is a `hidden beast` number, since 1 + 0 + 62 + 510 + 0 + 32 + 61 = 666.

It is not a de Polignac number, because 106251003261 - 2³ = 106251003253 is a prime.

It is a super-2 number, since 2×106251003261² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106251003361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5490160 + ... + 5509478.

It is an arithmetic number, because the mean of its divisors is an integer number (3573085880).

Almost surely, 2^106251003261 is an apocalyptic number.

It is an amenable number.

106251003261 is a deficient number, since it is larger than the sum of its proper divisors (65257118979).

106251003261 is a wasteful number, since it uses less digits than its factorization.

106251003261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 21076 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106251003261 its reverse (162300152601), we get a palindrome (268551155862).

The spelling of 106251003261 in words is "one hundred six billion, two hundred fifty-one million, three thousand, two hundred sixty-one".