106287248961879 has 32 divisors (see below), whose sum is σ = 147959566824960. Its totient is φ = 67739957459328.

The previous prime is 106287248961869. The next prime is 106287248961889. The reversal of 106287248961879 is 978169842782601.

It is an interprime number because it is at equal distance from previous prime (106287248961869) and next prime (106287248961889).

It is not a de Polignac number, because 106287248961879 - 2⁸ = 106287248961623 is a prime.

It is a super-2 number, since 2×106287248961879² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106287248961869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716799377 + ... + 1716861285.

It is an arithmetic number, because the mean of its divisors is an integer number (4623736463280).

Almost surely, 2^{106287248961879} is an apocalyptic number.

106287248961879 is a deficient number, since it is larger than the sum of its proper divisors (41672317863081).

106287248961879 is a wasteful number, since it uses less digits than its factorization.

106287248961879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75271.

The product of its (nonzero) digits is 1170505728, while the sum is 78.

The spelling of 106287248961879 in words is "one hundred six trillion, two hundred eighty-seven billion, two hundred forty-eight million, nine hundred sixty-one thousand, eight hundred seventy-nine".