106251632532 has 18 divisors (see below), whose sum is σ = 268580515658. Its totient is φ = 35417210832.

The previous prime is 106251632521. The next prime is 106251632579. The reversal of 106251632532 is 235236152601.

106251632532 is a `hidden beast` number, since 1 + 0 + 62 + 5 + 1 + 63 + 2 + 532 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55731877776 + 50519754756 = 236076^2 + 224766^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106251632532² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2951434237 = 106251632532 / (1 + 0 + 6 + 2 + 5 + 1 + 6 + 3 + 2 + 5 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1475717083 + ... + 1475717154.

Almost surely, 2^106251632532 is an apocalyptic number.

106251632532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106251632532 is an abundant number, since it is smaller than the sum of its proper divisors (162328883126).

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

106251632532 is a wasteful number, since it uses less digits than its factorization.

106251632532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951434247 (or 2951434242 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106251632532 in words is "one hundred six billion, two hundred fifty-one million, six hundred thirty-two thousand, five hundred thirty-two".